Finite Math Examples

$\frac{\sqrt{20}}{\sqrt{3 - \sqrt{5}}}$

Step 1

Rewrite $20$ as $2^{2} \cdot 5$ .

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Step 1.1

Factor $4$ out of $20$ .

$\frac{\sqrt{4 (5)}}{\sqrt{3 - \sqrt{5}}}$

Step 1.2

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

$\frac{\sqrt{2^{2} \cdot 5}}{\sqrt{3 - \sqrt{5}}}$

Step 2

Pull terms out from under the radical.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$5.11667273 \dots$