# How do you multiply 3*sqrt2*sqrt14*x?

Oct 16, 2015

The answer is $6 x \sqrt{7}$.

#### Explanation:

$3 \cdot \sqrt{2} \cdot \sqrt{14} \cdot x$

Simplify.

$3 x \sqrt{28}$

Find the prime factors for $28$

$3 x \sqrt{2 \times 2 \times 7} =$

$3 x \sqrt{{2}^{2} \times 7} =$

Apply square root rule $\sqrt{{a}^{2}} = a$.

$\left(3 x\right) \times 2 \sqrt{7} =$

$6 x \sqrt{7}$