What is $\frac{3 \sqrt{5}}{\sqrt{7}}$ $(3 sqrt5)/sqrt7$ ?

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Answer 1 · 2018-04-01T06:21:11

The expression is equal to $\frac{3 \sqrt{35}}{7}$ $(3sqrt35)/7$ .

Rationalize the denominator by multiplying the top and bottom of the fraction by $\sqrt{7}$ $sqrt7$ :

$= \frac{3 \sqrt{5}}{\sqrt{7}}$ $color(white)=(3sqrt5)/sqrt7$

$= \frac{3 \sqrt{5}}{\sqrt{7}} \cdot \frac{\sqrt{7}}{\sqrt{7}}$ $=(3sqrt5)/sqrt7color(red)(*sqrt7/sqrt7)$

$= \frac{3 \sqrt{5} \cdot \sqrt{7}}{\sqrt{7} \cdot \sqrt{7}}$ $=(3sqrt5*sqrt7)/(sqrt7*sqrt7)$

$= \frac{3 \sqrt{5} \cdot \sqrt{7}}{{(\sqrt{7})}^{2}}$ $=(3sqrt5*sqrt7)/(sqrt7)^2$

$= \frac{3 \sqrt{5} \cdot \sqrt{7}}{7}$ $=(3sqrt5*sqrt7)/7$

$= \frac{3 \sqrt{35}}{7}$ $=(3sqrt35)/7$

$~~2.53546...$

What is (3 sqrt5)/sqrt73√5√7(3 sqrt5)/sqrt7?