How do you simplify -2√27-3√27+3√18?

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How do you simplify -2√27-3√27+3√18?

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Answer 1 · 2015-08-20T13:30:48

$= - 15 \sqrt{3} + 9 \sqrt{2}$ $=color(blue)(-15sqrt3+9sqrt2$

Explanation:

$- 2 \sqrt{27} - 3 \sqrt{27} + 3 \sqrt{18}$ $-2sqrt27 -3sqrt27+3sqrt18$

$= - 5 \sqrt{27} + 3 \sqrt{18}$ $=-5sqrt27+3sqrt18$

Simplifying by prime factorisation
$\sqrt{27} = \sqrt{3 \cdot 3 \cdot 3} = \sqrt{3^{2} \cdot 3} = 3 \sqrt{3}$ $sqrt27=sqrt(3*3*3)=sqrt(3^2*3)=color(blue)(3sqrt3$

$\sqrt{18} = \sqrt{3 \cdot 3 \cdot 2} = \sqrt{3^{2} \cdot 2} = 3 \sqrt{2}$ $sqrt18=sqrt(3*3*2) =sqrt(3^2*2)=color(blue)(3sqrt2$

Our expression now becomes:
$= - 5 \cdot 3 \sqrt{3} + 3 \cdot 3 \sqrt{2}$ $=-5*color(blue)(3sqrt3) +3*color(blue)(3sqrt2$

$= - 15 \sqrt{3} + 9 \sqrt{2}$ $=-15sqrt3+9sqrt2$

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How do you simplify -2√27-3√27+3√18?

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