How do you simplify $\frac{15}{\sqrt{3}}$ $15/sqrt3$ ?

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Answer 1 · 2016-03-13T14:06:45

$5 \sqrt{3}$ $5sqrt3$

We want to rationalize the denominator, or eliminate the square root from the denominator.

To do this, multiply the fraction by $\frac{\sqrt{3}}{\sqrt{3}}$ $sqrt3/sqrt3$ .

$= \frac{15}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}$ $=15/sqrt3 * sqrt3/sqrt3$

In the denominator, we see that $\sqrt{3} \cdot \sqrt{3} = 3$ $sqrt3 * sqrt3=3$ .

$= \frac{15 \sqrt{3}}{3}$ $=(15sqrt3)/3$

Now, recognize the fraction can be simplified since $\frac{15}{3} = 5$ $15/3=5$ .

$= 5 \sqrt{3}$ $=5sqrt3$

How do you simplify 15√315/sqrt3?