Solve for z. 1/2 = sqrt z Write your answer as a fraction. z = _____

Identify Equation & Operation: Identify the equation and the operation needed to isolate z. We have: 1/2 = sqrt z To solve for z, we need to square both sides of the equation to eliminate the square root.Square Both Sides: Square both sides of the equation: (1/2)^2 = (sqrt z)^2Perform Squaring Operation: Perform the squaring operation on both sides: (1/2)^2 = 1/4 (sqrt z)^2 = z So we have: 1/4 = z

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Solve for $z$ . $\newline$ $\frac{1}{2} = \sqrt{z}$ $\newline$ Write your answer as a fraction. $\newline$ $z =$ _____

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Algebra 2

Solve radical equations

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Q. Solve for

z

\newline

\frac{1}{2} = \sqrt{z}

\newline

Write your answer as a fraction.

\newline

z =

_____

Identify Equation & Operation: Identify the equation and the operation needed to isolate $z$ . We have: $\newline$ $\frac{1}{2} = \sqrt{z}$ $\newline$ To solve for $z$ , we need to square both sides of the equation to eliminate the square root.
Square Both Sides: Square both sides of the equation: $\newline$ (\frac{$1$}{$2$})^\(2 = (\sqrt{z})^ $2$
Perform Squaring Operation: Perform the squaring operation on both sides: $\newline$ $(\frac{1}{2})^2 = \frac{1}{4}$ $\newline$ $(\sqrt{z})^2 = z$ $\newline$ So we have: $\newline$ $\frac{1}{4} = z$