CBSE Class 7 > Class 7 Videos > How to calculate Square root of any Number.
How to calculate Square root of any Number. Video Lecture - Class 7
FAQs on How to calculate Square root of any Number.
| 1. How can I calculate the square root of any number? |  |
Ans. To calculate the square root of any number, you can use the following steps: 1. Start by guess a number that could be the square root of the given number. 2. Divide the given number by your guess. 3. Take the average of the result and your guess. 4. Repeat steps 2 and 3 until you get a more accurate value. 5. Keep repeating the process until you reach the desired level of accuracy.
| 2. Are there any shortcuts or formulas to calculate the square root? | |
Ans. Yes, there are various shortcuts and formulas to calculate the square root of a number. One of the commonly used methods is the "Babylonian Method" or "Heron's Method" which involves iterative calculations. Another popular method is using the "Prime Factorization" of the number to simplify the calculation of the square root.
| 3. Can I use a calculator to find the square root of a number? | |
Ans. Yes, you can use a calculator to find the square root of a number. Most scientific calculators have a square root function that allows you to directly calculate the square root. Simply enter the number and press the square root button to get the result.
| 4. Is it possible to find the square root of negative numbers? | |
Ans. Yes, it is possible to find the square root of negative numbers, but the result will be an imaginary number. In mathematics, the imaginary unit is denoted by "i," where i² = -1. So, the square root of a negative number is expressed as a multiple of "i."
| 5. Can the square root of a number be a decimal? | |
Ans. Yes, the square root of a number can be a decimal. In fact, most square roots are irrational numbers, meaning they cannot be expressed as a fraction or a decimal that terminates or repeats. Instead, they go on infinitely without a pattern. However, you can approximate the square root of a number as a decimal to a certain level of accuracy using various methods or a calculator.
Text Transcript from Video
how to calculate square root of any
number I am Anil Kumar and I will show
you a technique of calculating square
root of any number without calculator
right so that's the key it is without
calculator so it's a kind of dimension
which we learn long time back and I'm
very happy to share it with you let us
try to find square root of let us say
200 okay
to find square root of 200 we can have a
special kind of division and that is how
we divide it so that's a normal division
wave but in this case as you know in
square row we are always multiplying the
same number so the technique is whatever
number is given to you make in pairs
from left to right so so from left to
right two numbers and then we are left
with just one now we will try to divide
the numbers from the right so it is 1 we
know 1 times 1 so we have to always
place the same number as a divisor and
as a quotient so 1 times 1 is 1
2 times 2 is 4 we have only number 2 so
we can divide just by 1 so we put 1 by 1
times 1 we get 1 here so take away 1
from 2 we get 1 now bring down both the
numbers together so we get 100 here is
kind of a different way of dividing now
we have to again divide and this time we
write the number which is twice quotient
over there 2 times 1 is 2 so we write 2
here now we have to fill in another
number which can be multiplied by itself
to get closer to hundred now we can say
that 10 can be divided by 2 5 times
well then 5 times 5 will be 25 much
bigger numbers let's try number 4
spilatro
4 here and
here also kind of same number has to
come that is the technique four times
four is 16 so we get 6 here 1 4 times 2
is 8 and 8 plus 1 is 9 so we get 96 now
take away 96 from 100 we get number 4 so
14 is square root of 200 very close if
you are constraining the whole numbers
so if you want to go further then we can
add a decimal and two zeros bring down
both these zeros and then again we'll
start with our process which is 2 times
14 so the number is 28 and now we have
to write some number here and some
number there with decimal in between now
that means if I write 1 I get 2 8 1
right if I write 2 then 2 times 2 is 4
so we get a number more than 400 so
we'll go with 1 so we can write 1 1 in
the quotient and 1 in the divisor so
when you multiply it by 1 you get 281
now take away 281 from 400 then take
away 1 is 9 9 take away 8 is 1 and 3 you
have to take away 2 from 3 get 1 well we
can go to two decimal places let's put
two more zeroes bring down these zeroes
ok now what number can I place here and
here so that we can get closer to 11
thousand nine hundred well 2 times 5 is
10 5 times 8 is 40 that will be higher
than 11 so we can try 4 4 4 times 4 is
16 6 4 times 1 is 4 plus 1 5 4 times 8
is 32 2 3 carry over and 4 times 8 is 4
X 2 is 8 plus 3 is 11 so we get this
number which is indeed very close to
11,000
900 and when you take away you get 4 4
and 640 oh that's a remainder but anyway
the closest we have got for 2 decimal
places is 14 point 1 4 and therefore we
can say square root of 200 round to
approximately 2 decimal places is equal
to fourteen point one four but I hope
you appreciate this special kind of
division process by which we can
actually calculate square root of any
number right try this technique and find
square root of let us say 350 right so
you can do repeated division in this
fashion you have to write the same
number four step is of course to Club
them from left so we get group of two
here and then one and if you want
decimal places you can add more zeros
set of zeros you have to a degree so
that way you can get to two decimal
places so that is how you can actually
find square root of any number practice
with few numbers at home I hope you
appreciate it thank you and all the best
number I am Anil Kumar and I will show
you a technique of calculating square
root of any number without calculator
right so that's the key it is without
calculator so it's a kind of dimension
which we learn long time back and I'm
very happy to share it with you let us
try to find square root of let us say
200 okay
to find square root of 200 we can have a
special kind of division and that is how
we divide it so that's a normal division
wave but in this case as you know in
square row we are always multiplying the
same number so the technique is whatever
number is given to you make in pairs
from left to right so so from left to
right two numbers and then we are left
with just one now we will try to divide
the numbers from the right so it is 1 we
know 1 times 1 so we have to always
place the same number as a divisor and
as a quotient so 1 times 1 is 1
2 times 2 is 4 we have only number 2 so
we can divide just by 1 so we put 1 by 1
times 1 we get 1 here so take away 1
from 2 we get 1 now bring down both the
numbers together so we get 100 here is
kind of a different way of dividing now
we have to again divide and this time we
write the number which is twice quotient
over there 2 times 1 is 2 so we write 2
here now we have to fill in another
number which can be multiplied by itself
to get closer to hundred now we can say
that 10 can be divided by 2 5 times
well then 5 times 5 will be 25 much
bigger numbers let's try number 4
spilatro
4 here and
here also kind of same number has to
come that is the technique four times
four is 16 so we get 6 here 1 4 times 2
is 8 and 8 plus 1 is 9 so we get 96 now
take away 96 from 100 we get number 4 so
14 is square root of 200 very close if
you are constraining the whole numbers
so if you want to go further then we can
add a decimal and two zeros bring down
both these zeros and then again we'll
start with our process which is 2 times
14 so the number is 28 and now we have
to write some number here and some
number there with decimal in between now
that means if I write 1 I get 2 8 1
right if I write 2 then 2 times 2 is 4
so we get a number more than 400 so
we'll go with 1 so we can write 1 1 in
the quotient and 1 in the divisor so
when you multiply it by 1 you get 281
now take away 281 from 400 then take
away 1 is 9 9 take away 8 is 1 and 3 you
have to take away 2 from 3 get 1 well we
can go to two decimal places let's put
two more zeroes bring down these zeroes
ok now what number can I place here and
here so that we can get closer to 11
thousand nine hundred well 2 times 5 is
10 5 times 8 is 40 that will be higher
than 11 so we can try 4 4 4 times 4 is
16 6 4 times 1 is 4 plus 1 5 4 times 8
is 32 2 3 carry over and 4 times 8 is 4
X 2 is 8 plus 3 is 11 so we get this
number which is indeed very close to
11,000
900 and when you take away you get 4 4
and 640 oh that's a remainder but anyway
the closest we have got for 2 decimal
places is 14 point 1 4 and therefore we
can say square root of 200 round to
approximately 2 decimal places is equal
to fourteen point one four but I hope
you appreciate this special kind of
division process by which we can
actually calculate square root of any
number right try this technique and find
square root of let us say 350 right so
you can do repeated division in this
fashion you have to write the same
number four step is of course to Club
them from left so we get group of two
here and then one and if you want
decimal places you can add more zeros
set of zeros you have to a degree so
that way you can get to two decimal
places so that is how you can actually
find square root of any number practice
with few numbers at home I hope you
appreciate it thank you and all the best
About this Video
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Apr 20, 2026 Last updated
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