How do you simplify √3 ( √15 + 2 )?

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Answer 1 · 2015-10-17T06:22:15

$\sqrt{3} (\sqrt{15} + 2) = 3 \sqrt{5} + 2 \sqrt{3}$ $sqrt 3(sqrt 15+2)=3sqrt5+2sqrt3$

$\sqrt{3} (\sqrt{15} + 2)$ $sqrt 3(sqrt 15+2)$

Distribute the $\sqrt{3}$ $sqrt 3$ .

$\sqrt{3} \sqrt{15} + 2 \sqrt{3}$ $sqrt 3sqrt 15+2sqrt 3$

Simplify.

$\sqrt{45} + 2 \sqrt{3} =$ $sqrt 45+2sqrt 3=$

$\sqrt{3 \times 3 \times 5} + 2 \sqrt{3} =$ $sqrt(3xx3xx5)+2sqrt 3=$

$\sqrt{3^{2} \times 5} + 2 \sqrt{3}$ $sqrt(3^2xx5)+2sqrt 3$

Apply square root rule $\sqrt{a^{2}} = a$ $sqrt(a^2)=a$ .

$3 \sqrt{5} + 2 \sqrt{3}$ $3sqrt5+2sqrt3$