Question

The square root of one forth of a number is 8. What is that number?

Answer 1

The number is `color(crimson)(256`

Explanation:

Let the number be x

Given : `sqrt (x/4) = 8`

`x/4 = 8^2 = 64`

`x = 64 * 4 = 256`

Answer 2

256

Explanation:

`sqrt(x/4)=8`

square both side

`x/4=64`

multiply by 4

`x=256`

Answer 3

`256`

Explanation:

Let `x` be the number.

We are told that : `sqrt( x/4) =8`

Square both sides.

`x/4 = 64`

`:. x = 4xx64 = 256`

Answer 4

`256`

Explanation:

`"let the number be "x`

`"then one fourth of the number "=x/4`

`["note that "sqrtaxxsqrta=(sqrta)^2=a]`

`sqrt(x/4)=8`

`color(blue)"square both sides"`

`(sqrt(x/4))^2=8^2`

`x/4=64`

`"multiply both sides by 4"`

`x=4xx64=256`