# How do you simplify sqrt(35x) sqrt(10x)?

Aug 8, 2016

$5 x \sqrt{14}$

#### Explanation:

When you are multiplying or dividing square roots, they can be combined into one square root.

$\left(35 x\right) \times \sqrt{10 x} = \sqrt{350 {x}^{2}}$

Write 350 as the product of its prime factors:

$\sqrt{350 {x}^{2}} = \sqrt{2 \times 7 \times 5 \times 5 {x}^{2}} = \sqrt{14 \times {5}^{2} {x}^{2}}$

=$5 x \sqrt{14}$