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

4 Answers
Jun 11, 2018

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

Jun 11, 2018

256

Explanation:

sqrt(x/4)=8

square both side

x/4=64

multiply by 4

x=256

Jun 11, 2018

256

Explanation:

Let x be the number.

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

Square both sides.

x/4 = 64

:. x = 4xx64 = 256

Jun 11, 2018

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