How do you simplify $\frac{\sqrt{18}}{\sqrt{3}}$ $sqrt18/sqrt3$ ?

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How do you simplify $\frac{\sqrt{18}}{\sqrt{3}}$ $sqrt18/sqrt3$ ?

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Answer 1 · 2015-06-06T01:36:47

Knowing that $\frac{\sqrt{A}}{\sqrt{B}} = \sqrt{\frac{A}{B}}$ $sqrt A/sqrt B = sqrt (A/B)$ then

$\frac{\sqrt{18}}{\sqrt{3}} = \sqrt{\frac{18}{3}} = \sqrt{6}$ $sqrt 18/sqrt 3 = sqrt (18/3) = sqrt 6$

Answer 2 · 2015-06-06T01:43:56

You can take a one big square root:
$\sqrt{\frac{18}{3}} = \sqrt{6}$ $sqrt(18/3)=sqrt(6)$
Or:
Multiply and divide by $\sqrt{3}$ $sqrt(3)$ :
$\frac{\sqrt{18}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{6 \cdot 3} \cdot \sqrt{3}}{3} = \frac{\sqrt{6} \sqrt{3} \sqrt{3}}{3} =$ $sqrt(18)/sqrt(3)*sqrt(3)/sqrt(3)=(sqrt(6*3)*sqrt(3))/3=(sqrt(6)sqrt(3)sqrt(3))/3=$
$=cancel(3)sqrt(6)/cancel(3)=sqrt(6)$

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How do you simplify $\frac{\sqrt{18}}{\sqrt{3}}$ $sqrt18/sqrt3$ ?

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