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How do you simplify $3 \sqrt{3} - \sqrt{27}$ $3sqrt3-sqrt27$ ?

1 Answer

Mar 21, 2018

$3 \sqrt{3} - \sqrt{27} = 0$ $3sqrt(3)-sqrt(27)=color(red)0$

Explanation:

Since
$XXX \sqrt{27} = \sqrt{3 \cdot 3 \cdot 3} = \sqrt{3^{2}} \cdot \sqrt{3} = 3 \sqrt{3}$ $color(white)("XXX")color(lime)(sqrt(27))=sqrt(3 * 3 * 3) = sqrt(3^2) * sqrt(3) = color(lime)(3sqrt(3))$

Therefore
$XXX 3 \sqrt{3} - \sqrt{27}$ $color(white)("XXX")3sqrt(3)-color(lime)(sqrt(27))$

$XXXXXX = 3 \sqrt{3} - 3 \sqrt{3}$ $color(white)("XXXXXX")=3sqrt(3) - color(lime)(3sqrt(3))$

$XXXXXX = 0$ $color(white)("XXXXXX")=0$

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