Solve for y square root of 36=3y

$\sqrt{36} = 3 y$

Step 1

Rewrite the equation as $3 y = \sqrt{36}$ .

$3 y = \sqrt{36}$

Step 2

Divide each term in $3 y = \sqrt{36}$ by $3$ and simplify.

Divide each term in $3 y = \sqrt{36}$ by $3$ .

$\frac{3 y}{3} = \frac{\sqrt{36}}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{\sqrt{36}}{3}$

Divide $y$ by $1$ .

$y = \frac{\sqrt{36}}{3}$

Simplify the right side.

Simplify the numerator.

Rewrite $36$ as $6^{2}$ .

$y = \frac{\sqrt{6^{2}}}{3}$

Pull terms out from under the radical, assuming positive real numbers.

$y = \frac{6}{3}$

Divide $6$ by $3$ .

$y = 2$