Simplify ( square root of 8y)/( square root of y)

$\frac{\sqrt{8 y}}{\sqrt{y}}$

Step 1

Combine $\sqrt{8 y}$ and $\sqrt{y}$ into a single radical.

$\sqrt{\frac{8 y}{y}}$

Step 2

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{8 y}{y}$ by cancelling the common factors.

Cancel the common factor.

$\sqrt{\frac{8 y}{y}}$

Rewrite the expression.

$\sqrt{\frac{8}{1}}$

Divide $8$ by $1$ .

$\sqrt{8}$

Step 3

Rewrite $8$ as $2^{2} \cdot 2$ .

Factor $4$ out of $8$ .

$\sqrt{4 (2)}$

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 2}$

Step 4

Pull terms out from under the radical.

$2 \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{2}$

Decimal Form:

$2.82842712 \dots$