Simplify square root of 20-3 square root of 5 - Math App

Math

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

Simplify each term.

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

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Factor $4$ out of $20$ .

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

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

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

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

Pull terms out from under the radical.

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

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

Subtract $3 \sqrt{5}$ from $2 \sqrt{5}$ .

$- \sqrt{5}$

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{5}$

Decimal Form:

$- 2.23606797 \dots$

Simplify square root of 20-3 square root of 5

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