Examples: Finding Square Roots Video Lecture - Class 8

hello friends this video on squares and
square roots part 23 is got to you by
example or found no more fearsome exam
so let's look at some of the questions
they use to long division method
question number one find the square root
of seven point two nine so first thing
that we do is placing the bar
so for a decimal number the whole number
five we start placing the bathroom here
for the decimal part we start clicking
the bar from here and now let's look for
a perfect square which is less than
equal to seven
so this would be 2 so 2 squared is 4 so
2 into 2 is 4 let's find a reminder it
is 3 then we have a decimal point so we
put a decimal point in the quotient so
we bring down the next set of numbers
under the bar it is 329 what about the
division earlier it was to make it twice
it becomes for a blank after it so what
is that number which should be placed it
so I give you a small tip instead of
trying all the numbers here so you have
nine at the end so you need such a digit
which when multiplied to itself gives
you something which has nine at end for
example three treason and so three could
be one option seven having the 49 the
seven could be one option so now you can
just try three and seven in the gap if
you put three then it's become 129 if
you put seven then it becomes 329 so
this is the right option for us
so you put it seven gears so this
becomes three 20 minutes so therefore
the square root of seven point two nine
is equal to two point seven question
number two find the leaves numbers which
must be subtracted from one nine eight
nine so as to get a perfect square so
let us first see if one nine eight nine
is a perfect square so with the division
method also you can decide whether or
not
about experiment select you see a
perfect square
the final remainder will be zero but if
the final remainder is not zero that
means the number is not a perfect square
let's try it out for one value 89 so we
will do the same thing put them under
the bus in the pair of digits now focus
on 19 so what is that lamp or whose
perfect square will be less than or
equal to 19 for square so 4 0 4 4 to 16
so for here so the remainder would be 3
let's bring down the next set of digits
in the box it is 389 and here the
division would be 4 into 2 that an 8 and
a blanchett so what is that upwards it
should be here such that you get
something less than or equal to 389 what
could be that number let's try that out
so if you think it could be 3 3 3 values
H is a 24 to 40 my name is Lanna tan 389
let's try bit forth so this is 16 and
this is 336 which is also less than 389
let's try this 5 so this is 4.5 which is
greater than 389 will be here we didn't
comment or something which is exactly
equal to 389 so we will consider the
value which is less than P 89 so let's
put here 4 here also for so this will be
treated the same
so what is the remainder the remainder
is crispy treat so this time we did not
get the finest remainder a deal which
shows that this number is not a perfect
fit but the question is wasn't that
number which must be subtracted from
this number so that it becomes a perfect
square so looking at this you see that
this remainder is the extra thing this
is not making this number to be a
perfect square so if we subtract this
number from
[Music]
nine eight nine then this campus on
above the square so to speak three must
be subtracted from this number so what
is that number which we get when we
subtract to TP let's see one nine eight
nine minus 53 gives you one nine three
things now let's find the square root of
196 now obviously square root of 100
would be 44 because we will follow the
same procedure just that at the end we
will get the remainder as zero if you
want we can do it once again is to show
you something like this so again here's
4 for 16 remainder is 3 but this time
you see the next set of digital
certificate so you have 3 certificate so
here is the degrees will would still be
8 the blank would be filled by for 24
into 4 is 356 search your final
remainder is 0 then the square root of
196 is equal to 44
[Music]
thank you please visit example.com for
free quality education you can learn
with a simple four-step learning process
wherein you can watch video lessons you
can ask your questions you can refer
notes and you can take a free online
test we have content for class 6 to 12
on physics chemistry mathematics and
biology along with practical videos so
please subscribe to our channel for
daily updates thank you