How do you simplify the square root of 12 over the square root of 49?

Question

How do you simplify the square root of 12 over the square root of 49?

1 Answer

Impact of this question

1637 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-22T13:37:18

$\frac{2 \sqrt{3}}{7} = \frac{2}{7} \sqrt{3}$ $(2sqrt3)/7=2/7sqrt3$

Explanation:

$using the law of radicals$ $"using the "color(blue)"law of radicals"$

$∙ x \sqrt{a} \times \sqrt{b} \Leftrightarrow \sqrt{a b}$ $•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)$

$\Rightarrow \sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2 \sqrt{3}$ $rArrsqrt12=sqrt(4xx3)=sqrt4xxsqrt3=2sqrt3$

$and \sqrt{49} = 7$ $"and "sqrt49=7$

$\Rightarrow \frac{\sqrt{12}}{\sqrt{49}}$ $rArrsqrt12/sqrt49$

$= \frac{2 \sqrt{3}}{7} = \frac{2}{7} \sqrt{3}$ $=(2sqrt3)/7=2/7sqrt3$

Science

Math

Humanities

... and beyond

How do you simplify the square root of 12 over the square root of 49?

1 Answer

Explanation:

Related questions

Impact of this question