How do you simplify $\sqrt{3} (\sqrt{5} - \sqrt{3})$ $sqrt3(sqrt5 - sqrt3)$ ?

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Answer 1 · 2017-04-23T02:37:41

See the entire solution process below:

First, rewrite this expression as:

$(\sqrt{3} \cdot \sqrt{5}) - (\sqrt{3} \cdot \sqrt{3})$ $(sqrt(3) * sqrt(5)) - (sqrt(3) * sqrt(3))$

Now, use this rule for radicals to combine the terms within parenthesis;

$\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ $sqrt(a) * sqrt(b) = sqrt(a * b)$

$(\sqrt{3} \cdot \sqrt{5}) - (\sqrt{3} \cdot \sqrt{3}) =$ $(sqrt(3) * sqrt(5)) - (sqrt(3) * sqrt(3)) =$ sqrt(3 * 5) - sqrt(3 * 3) =#

$\sqrt{15} - \sqrt{9} = \sqrt{15} \pm 3$ $sqrt(15) - sqrt(9) = sqrt(15) +- 3$

How do you simplify √3(√5−√3)sqrt3(sqrt5 - sqrt3)?