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How do you simplify $- 3 \sqrt{5} (3 \sqrt{15} + 2 \sqrt{5})$ $-3sqrt5(3sqrt15+2sqrt5)$ ?

2 Answers

Jul 10, 2015

$- (45 \sqrt{3} + 30)$ $-(45sqrt(3)+30)$

Explanation:

$- 3 \sqrt{5} (3 \sqrt{15} + 2 \sqrt{5})$ $-3sqrt(5)(3sqrt(15)+2sqrt(5))$
$XXXX$ $color(white)("XXXX")$ $= (- 3 \sqrt{5} \cdot 3 \sqrt{15}) + (- 3 \sqrt{5} \cdot 2 \sqrt{5})$ $=(-3sqrt(5) * 3sqrt(15)) + (-3sqrt(5) * 2sqrt(5))$

$XXXX$ $color(white)("XXXX")$ $= - 9 \sqrt{75} - 6 \sqrt{25}$ $=-9sqrt(75) - 6 sqrt(25)$

$XXXX$ $color(white)("XXXX")$ $= - 9 \cdot 5 \sqrt{3} - 6 \cdot 5$ $=-9*5sqrt(3) -6*5$

$XXXX$ $color(white)("XXXX")$ $= - (45 \sqrt{3} + 30)$ $=-(45sqrt(3)+30)$

Jul 10, 2015

The answer is $- 45 \sqrt{3} - 30$ $-45sqrt3-30$ .

Explanation:

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

Distribute the $- 3 \sqrt{5}$ $-3sqrt5$ by multiplying it times both terms in the parentheses.

$- 9 \sqrt{5} \sqrt{15} - 6 \sqrt{5} \sqrt{5}$ $-9sqrt5sqrt15-6sqrt5sqrt5$ =

Simplify.

$- 9 \sqrt{5} \sqrt{3} \sqrt{5} - 6 \sqrt{5} \sqrt{5}$ $-9sqrt5sqrt3sqrt5-6sqrt5sqrt5$ =

Simplify.

$(\sqrt{5} \sqrt{5} = 5)$ $(sqrt5sqrt5=5)$

$- 9 \cdot 5 \sqrt{3} - 6 \cdot 5$ $-9*5sqrt3-6*5$ =

Simplify.

$- 45 \sqrt{3} - 30$ $-45sqrt3-30$

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