How do you simplify $\sqrt{3} (\sqrt{15} + 2)$ $sqrt3(sqrt15+2)$ ?

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Answer 1 · 2018-05-25T13:37:30

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

$\sqrt{3} (\sqrt{15} + 2)$ $sqrt3(sqrt15+2)$

Expand the brackets
= $\sqrt{3} \times \sqrt{15} + 2 \times \sqrt{3}$ $sqrt3timessqrt15+2timessqrt3$

Simplify
= $\sqrt{45} + 2 \sqrt{3}$ $sqrt45+2sqrt3$

= $\sqrt{9 \times 5} + 2 \sqrt{3}$ $sqrt(9times5)+2sqrt3$

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

How do you simplify √3(√15+2)sqrt3(sqrt15+2)?