Question

What is the square root of 9/256

Answer 1

`√(9/256) = 0.1875`

Answer 2

`(3)/(16)=0.1875`

Explanation:

We have been given a fraction
`(9)/(256)`. We are asked to find the square root of given number.

Let us take square root of our given fraction.

`\sqrt{(9)/(256)}=(√(9))/(√(256))`

`(√(9))/(√(256))=(√(3^2))/(√(16^2))`

Using exponent property
`\sqrt[n]{x^n} =x`, we will get:

`(√(3^2))/(√(16^2))=(3)/(16)`

`(3)/(16)=0.1875`

Therefore, square root of our given number is
`(3)/(16)=0.1875`.