Solve for v. sqrt ( –8 + 4v) = sqrt 3v v = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–8 + 4v))^2 = (sqrt(3v))^2 –8 + 4v = 3vSubtract to combine terms: Subtract 3v from both sides to get the v terms on one side. –8 + 4v - 3v = 3v - 3v –8 + v = 0Add to solve for v: Add 8 to both sides to solve for v. –8 + 8 + v = 0 + 8 v = 8

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Solve for $v$ . $\newline$ $\sqrt{\,-8 + 4v} = \sqrt{\,3v}$ $\newline$ $v = \,\_\_\_\_$

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Q. Solve for

v

\newline

\sqrt{\,-8 + 4v} = \sqrt{\,3v}

\newline

v = \,\_\_\_\_

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-8 + 4v})^2 = (\sqrt{3v})^2$ $\newline$ $-8 + 4v = 3v$
Subtract to combine terms: Subtract $3v$ from both sides to get the $v$ terms on one side. $\newline$ $-8 + 4v - 3v = 3v - 3v$ $\newline$ $-8 + v = 0$
Add to solve for v: Add $8$ to both sides to solve for v. $\newline$ $-8 + 8 + v = 0 + 8$ $\newline$ $v = 8$