Solve for y square root of 3y=-3

$\sqrt{3 y} = - 3$

To remove the radical on the left side of the equation, square both sides of the equation.

${\sqrt{3 y}}^{2} = {(- 3)}^{2}$

Simplify each side of the equation.

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Multiply the exponents in ${({(3 y)}^{\frac{1}{2}})}^{2}$ .

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Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(3 y)}^{\frac{1}{2} \cdot 2} = {(- 3)}^{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

${(3 y)}^{\frac{1}{2} \cdot 2} = {(- 3)}^{2}$

Rewrite the expression.

${(3 y)}^{1} = {(- 3)}^{2}$

Simplify.

$3 y = {(- 3)}^{2}$

Raise $- 3$ to the power of $2$ .

$3 y = 9$

Divide each term by $3$ and simplify.

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Divide each term in $3 y = 9$ by $3$ .

$\frac{3 y}{3} = \frac{9}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 y}{3} = \frac{9}{3}$

Divide $y$ by $1$ .

$y = \frac{9}{3}$

Divide $9$ by $3$ .

$y = 3$

Exclude the solutions that do not make $\sqrt{3 y} = - 3$ true.

No solution

Solve for y square root of 3y=-3

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