Algebra Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

Factor $4$ out of $20$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $4$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

Step 2.2.4

Divide $5$ by $1$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$3.35410196 \dots$