what is the square root of 25/64?

Question

and also what would be the square root of 1/625

Answer 1

For any two numbers 'a' and 'b' that are divided underneath a square root, you can take the square root of the top and divide it by the square root of the bottom. In other words,

√(a / b) = (√a) / (√b)

So... you can just use this rule for the two problems you gave:

√(25 / 64) = (√25) / (√64) = 5/8
√(1 / 625) = (√1) / (√625) = 1/25

So, your two answers are 5/8 and 1/25.

Answer 2

Square Root of 25/64 = 5/8
Square Root of 1/625 = 1/25

Answer 3

√ (25 / 64) = √ 25 / √ 64 = 5 / 8

√ (1 / 625) = 1 / √ 625 = 1 / 25

Answer 4

one of the neat things about fractions is that since division is commutative, you can perform most operations on the numerator and denominator independently and then recombine the fraction. Exponents are an example of that.
So the square root of 1/625 is the square root of 1 divided by the square root of 625. (1/25)
And the square root of 25/64 is the square root of 25 divided by the square root of 64. (your turn to do the math)

Answer 5

Hey there!

Rewrite sqrt(25/64) as sqrt(25)/sqrt(64). We know that sqrt(25)=5 and sqrt(64)=8. So instead of writing the answer is sqrt(25)/sqrt(64), write the answer is 5/8. Note that 5/8 can be written in the decimal form i.e. 0.625.

So the answer is 5/8.

For the second problem, rewrite sqrt(1/625) as sqrt(1)/sqrt(625). We know that sqrt(1)=1 and sqrt(625)=25. Rewrite the answer as 1/25, rather than sqrt(1)/sqrt(625).

So the answer is 1/25.

Hope it helps!

Answer 6

square root of 25/64 = 0.078125

square root of 1/625 = 0.0016

Answer 7

square root of 25/64 is plus or minus 5/8
square root of 1/625 is plus or minus 25

Answer 8

1. 5/8
2. 1/ use a calculator type in 625 then type in the square root sign


1x1=1
2x2=4
3x3=9
4x4=16
5x5=25
6x6=36
7x7=49
8x8=64
9x9=81
10x10=100
11x11=132
12x12=144

Answer 9

The square root of a division is the division of the square roots. (Same for multiplication -- however, not true for additions and subtractions).

SQRT(25/64) = SQRT(25) / SQRT(64) = 5/8

Some people will insist that each square root has two answers: + and -

However, once you start to work with functions, you find that the function called square root has to be defined as only one of them (usually +): a function can only have one answer, otherwise, it is not a function.

SQRT(x*y) = SQRT(x)*SQRT(y)

But SQRT(x+y) is not equal to SQRT(x)+SQRT(y)

Answer 10

25/64 = .625
1/625 = .04