# How do you simplify sqrt14/sqrt45?

##### 1 Answer
Jul 8, 2015

use of the property

$\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$

#### Explanation:

now applying the same property here in the question

$\frac{\sqrt{14}}{\sqrt{45}} = \sqrt{\frac{14}{45}}$

factorizing the terms

$\sqrt{\frac{2 \cdot 7}{3 \cdot 3 \cdot 5}} = \sqrt{\frac{2 \cdot 7}{{3}^{2} \cdot 5}}$

taking out 3 from the square root

$\left(\frac{1}{3}\right) \sqrt{\frac{2 \cdot 7}{5}}$

which is the final answer according to me

feel free to correct the answer

Cheerio!