# How do you simplify (16sqrt21) / (2sqrt7)?

May 9, 2018

$8 \sqrt{3}$

#### Explanation:

$\text{using the "color(blue)"law of radicals}$

•color(white)(x)sqrta/sqrtbhArrsqrt(a/b)

$\Rightarrow \frac{16}{2} \times \frac{\sqrt{21}}{\sqrt{7}} = 8 \times \sqrt{\frac{21}{7}} = 8 \sqrt{3}$

May 9, 2018

$\frac{16 \sqrt{21}}{2 \sqrt{7}} = 13.856$

#### Explanation:

Given -

$\frac{16 \sqrt{21}}{2 \sqrt{7}}$

$\frac{16}{2} \times \frac{\sqrt{21}}{\sqrt{7}}$

$\frac{16}{2} \times {\left(\sqrt{21}\right)}^{2} / {\left(\sqrt{7}\right)}^{2}$

$\frac{16}{2} \times \frac{21}{7}$

$8 \times \sqrt{3} = 8 \times 1.732 = 13.856$

$\frac{16 \sqrt{21}}{2 \sqrt{7}} = 13.856$
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