Solve for z. sqrt 7z = sqrt ( 8 + 3z) z = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(7z))^2 = (sqrt(8 + 3z))^2 7z = 8 + 3zSubtract 3z: Subtract 3z from both sides to get all the z terms on one side. 7z - 3z = 8 + 3z - 3z 4z = 8Divide by 4: Divide both sides by 4 to solve for z. 4z / 4 = 8 / 4 z = 2

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $z$ . $\newline$ $\sqrt{7z} = \sqrt{8 + 3z}$ $\newline$ $z =$ _____

View step-by-step help

Home

Math Problems

Precalculus

Solve radical equations

Full solution

Q. Solve for

z

\newline

\sqrt{7z} = \sqrt{8 + 3z}

\newline

z =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{7z})^2 = (\sqrt{8 + 3z})^2$ $\newline$ $7z = 8 + 3z$
Subtract $3z$ : Subtract $3z$ from both sides to get all the z terms on one side. $\newline$ $7z - 3z = 8 + 3z - 3z$ $\newline$ $4z = 8$
Divide by $4$ : Divide both sides by $4$ to solve for $z$ . $\frac{4z}{4} = \frac{8}{4}$ $z = 2$