Solve for a. sqrt 9a = sqrt ( 3 + 8a) a = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(9a))^2 = (sqrt(3 + 8a))^2 9a = 3 + 8aSubtract to isolate variable: Subtract 8a from both sides to isolate the variable a on one side of the equation. 9a - 8a = 3 + 8a - 8a a = 3

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Solve for $a$ . $\newline$ $\sqrt{9a} = \sqrt{(3 + 8a)}$ $\newline$ $a =$ _____

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Precalculus

Solve radical equations

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Q. Solve for

a

\newline

\sqrt{9a} = \sqrt{(3 + 8a)}

\newline

a =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{9a})^2 = (\sqrt{3 + 8a})^2$ $\newline$ $9a = 3 + 8a$
Subtract to isolate variable: Subtract $8a$ from both sides to isolate the variable $a$ on one side of the equation. $\newline$ $9a - 8a = 3 + 8a - 8a$ $\newline$ $a = 3$