How many prime number are there between 0 and 30 :
There are 10 prime numbers between 0 and 30 which are: 2,3,5,7,11,13,17,19,23,29
Two irrational numbers between 2 and 2.5 are :
Irrational number between 2 and 2.5 = √2*2.5 = √5
As it is clear now that, 2 < √5 < 2.5
We know that √5 is an irrational number.
So, √5 is the required irrational number between 2 and 2.5.
The exponential form of is :
(√2×√3)½ = (2×3)½×½ = (6)¼
The rational form of –25.6875 is :
The rational form of is :
As the bar is under two digits multiply with 100
100x = 2.7435*100
100x = 274.35
now subtract with x terms
that gives
99x = 274.35  2.7435
99 x = 271.60
x = 271.60/99
x = 2716/9900
The value of is :
Which of the following is not a rational number :
√4 = 2, √9 = 3, √16 = 4 but √2 = 1.414 it is a nonterminating and nonrepeating number and such numbers are called irrational numbers. So, √2 is not a rational number.
(2√3 +√3) is equal to
(2√3 +√3) = 3√3 ( By addition of like terms )
So option C is correct answer.
The number is :
If this number is rationalised then 3√3×3√3/3+√3×3√3
=(3√3)^{2/3}^2+√3^{2}
=9+36√3/6
=126√3/6
=2√3 this is an irrational number.
Find the remainder when 67^{99} is divided bt 7
63 is divisible by 7 for any power, so required remainder will depend on the power of 4
Required remainder
The value of 5. :
The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by which of the following numbers?
The resulting number is always divisible by 9. e.g.,
Consider 47.
Sum of its digits is 4+7=11
So,47−11=36 which is exactly divisible by 9
The value of is :
(1  10)/(9 + (3))
=9/6 = 3/2
If 2^{x} = 4^{y} = 8^{z} and = 4, then the value of x is :
If 9^{x1} = 3^{2x1} – 486 then the value of x is :
If a = 1/ (32√2) & b = 1/ ( 3+2√2) then the value of a^{2} +b^{2} is :
a = 1/ (32√2)
b = 1/ ( 3+2√2)
∴ ab = 1/(32√2) * 1/ (3+2√2)
=> 1/ (98)
=> 1
We know;
(a+b)^{2} = a^{2} + b^{2 }+ 2ab
And, a^{2}+ b^{2} = (a+b)^{2}  2ab
=> [ 1/(32√2) + 1/(3+2√2) ]^{2} 2*1
=> [3+2√2+32√2 / 1]^2 2
=> (6)^{2}  2
=> 36  2
=> 34
is equal to :
If 2^{2xy} = 32 and 2^{x+y} = 16 then x^{2} + y^{2} :
The value of is :
The value of
[(x)^2]^{1/3]1/4}
= [(x^{2})^{1/12}]
= x^{1/6}
The value of 4√3 – 3 √12 + 2 √75 on simplifying is :
If √3 = 1.732, √5 = 2.236, then the value of is :
The product of 4 √6 and 3√24 is :
4√6*3√24=4√6*3√2*√2*√*2*√3
=4√6*6√6
4*6*√6*√6=4*6*6=24*6=144
If a = , b = , then the value of a + b is :
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