What's a rule that could be used to simply the square of any square root of a number?

Step-by-step explanation:

The squaring function x^2 and the square root function √x are inverses of one another.  Because of this, the square of the square root of a number is the number itself:  [√x]^2; this is identical to √[ x^(1/2) ]^2 = x^(2/2) = x^1.

If we are given the square root of a number, then the number itself is the square of the given square root.

Example:  Given x with the info that x is the square root of a number, then the square of that x is x^2.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)