Simplify the Radical Expression (3 square root of 20)/(2 square root of 4)

$\frac{3 \sqrt{20}}{2 \sqrt{4}}$

Combine $\sqrt{20}$ and $\sqrt{4}$ into a single radical.

$\frac{3 \sqrt{\frac{20}{4}}}{2}$

Cancel the common factor of $20$ and $4$ .

Factor $4$ out of $20$ .

$\frac{3 \sqrt{\frac{4 \cdot 5}{4}}}{2}$

Cancel the common factors.

Factor $4$ out of $4$ .

$\frac{3 \sqrt{\frac{4 \cdot 5}{4 (1)}}}{2}$

Cancel the common factor.

$\frac{3 \sqrt{\frac{4 \cdot 5}{4 \cdot 1}}}{2}$

Rewrite the expression.

$\frac{3 \sqrt{\frac{5}{1}}}{2}$

Divide $5$ by $1$ .

$\frac{3 \sqrt{5}}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3 \sqrt{5}}{2}$

Decimal Form:

$3.35410196 \dots$