How do you rationalize $\sqrt{\frac{10}{7}}$ $sqrt(10/7)$ ?

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Answer 1 · 2015-05-21T04:34:12

The answer is $\frac{\sqrt{70}}{7}$ $sqrt 70/7$ .

Problem: Rationalize $\sqrt{\frac{10}{7}}$ $sqrt(10/7)$ .

$\sqrt{\frac{10}{7}} = \frac{\sqrt{10}}{\sqrt{7}}$ $sqrt(10/7)=sqrt 10/sqrt 7$

Multiply the numerator and denominator times $\sqrt{7}$ $sqrt 7$ .

$\frac{\sqrt{10}}{\sqrt{7}} \cdot \frac{\sqrt{7}}{\sqrt{7}}$ $sqrt 10/sqrt 7*sqrt 7/sqrt 7$ =

$\frac{\sqrt{10} \sqrt{7}}{7}$ $(sqrt 10sqrt 7)/7$

Simplify.

$\frac{\sqrt{70}}{7}$ $sqrt 70/7$

How do you rationalize sqrt(10/7)√107sqrt(10/7)?