How do you simplify $- 5 \sqrt{18}$ $-5sqrt18$ ?

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How do you simplify $- 5 \sqrt{18}$ $-5sqrt18$ ?

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Answer 1 · 2018-06-23T20:16:04

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

Explanation:

$- 5 \sqrt{18}$ $-5sqrt(18)$

(Then, since $\sqrt{a b} = \sqrt{a} \cdot \sqrt{b}$ $sqrt(ab)=sqrt(a)*sqrt(b)$ )

$= - 5 \sqrt{9} \sqrt{2}$ $=-5sqrt(9)sqrt(2)$
$= - 5 \cdot 3 \cdot \sqrt{2}$ $=-5*3*sqrt(2)$
$= - 15 \sqrt{2}$ $=-15sqrt(2)$

Answer 2 · 2018-06-23T20:16:27

See a solution process below:

Explanation:

Use this rule for radicals to simplify the expression:

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

$- 5 \sqrt{18} \Rightarrow - 5 \sqrt{9 \cdot 2} \Rightarrow - 5 \sqrt{9} \cdot \sqrt{2} \Rightarrow - 5 \cdot 3 \sqrt{2} \Rightarrow - 15 \sqrt{2}$ $-5sqrt(18) => -5sqrt(color(red)(9) * color(blue)(2)) => -5sqrt(color(red)(9)) * sqrt(color(blue)(2)) => -5 * 3sqrt(2) => -15sqrt(2)$

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How do you simplify $- 5 \sqrt{18}$ $-5sqrt18$ ?

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