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#