Simplify ( square root of 15)/( square root of 20)

$\frac{\sqrt{15}}{\sqrt{20}}$

Combine $\sqrt{15}$ and $\sqrt{20}$ into a single radical.

$\sqrt{\frac{15}{20}}$

Cancel the common factor of $15$ and $20$ .

Tap for more steps…

Factor $5$ out of $15$ .

$\sqrt{\frac{5 (3)}{20}}$

Cancel the common factors.

Tap for more steps…

Factor $5$ out of $20$ .

$\sqrt{\frac{5 \cdot 3}{5 \cdot 4}}$

Cancel the common factor.

$\sqrt{\frac{5 \cdot 3}{5 \cdot 4}}$

Rewrite the expression.

$\sqrt{\frac{3}{4}}$

Rewrite $\sqrt{\frac{3}{4}}$ as $\frac{\sqrt{3}}{\sqrt{4}}$ .

$\frac{\sqrt{3}}{\sqrt{4}}$

Simplify the denominator.

Tap for more steps…

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

$\frac{\sqrt{3}}{\sqrt{2^{2}}}$

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

$\frac{\sqrt{3}}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{2}$

Decimal Form:

$0.86602540 \dots$

Simplify ( square root of 15)/( square root of 20)

Solve My Algebra Homework