Solve for v. sqrt 8v = sqrt ( 3 + 5v) v = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(8v))^2 = (sqrt(3 + 5v))^2 8v = 3 + 5vSubtract 5v: Subtract 5v from both sides to get all the v terms on one side. 8v - 5v = 3 + 5v - 5v 3v = 3Divide by 3: Divide both sides by 3 to solve for v. 3v / 3 = 3 / 3 v = 1

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Solve for $v$ . $\newline$ $\sqrt{8v} = \sqrt{3 + 5v}$ $\newline$ $v =$ _____

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Q. Solve for

v

\newline

\sqrt{8v} = \sqrt{3 + 5v}

\newline

v =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{8v})^2 = (\sqrt{3 + 5v})^2$ $\newline$ $8v = 3 + 5v$
Subtract $5v$ : Subtract $5v$ from both sides to get all the $v$ terms on one side. $\newline$ $8v - 5v = 3 + 5v - 5v$ $\newline$ $3v = 3$
Divide by $3$ : Divide both sides by $3$ to solve for $v$ . $\frac{3v}{3} = \frac{3}{3}$ $v = 1$