Evaluate 4 square root of 15-2 square root of 60

$4 \sqrt{15} - 2 \sqrt{60}$

Simplify each term.

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Rewrite $60$ as $2^{2} \cdot 15$ .

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Factor $4$ out of $60$ .

$4 \sqrt{15} - 2 \sqrt{4 (15)}$

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

$4 \sqrt{15} - 2 \sqrt{2^{2} \cdot 15}$

$4 \sqrt{15} - 2 \sqrt{2^{2} \cdot 15}$

Pull terms out from under the radical.

$4 \sqrt{15} - 2 (2 \sqrt{15})$

Multiply $2$ by $- 2$ .

$4 \sqrt{15} - 4 \sqrt{15}$

$4 \sqrt{15} - 4 \sqrt{15}$

Subtract $4 \sqrt{15}$ from $4 \sqrt{15}$ .

$0$

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