How do you simplify $\frac{\sqrt{180}}{\sqrt{9}}$ $sqrt180/sqrt9$ ?

Question

How do you simplify $\frac{\sqrt{180}}{\sqrt{9}}$ $sqrt180/sqrt9$ ?

2 Answers

Impact of this question

1983 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-14T18:47:50

Expand your radicals

Explanation:

For positive m,n $\sqrt{m \cdot n} = \sqrt{m} \cdot \sqrt{n}$ $sqrt(m*n) = sqrt(m)*sqrt(n)$ .

So then we have $\frac{\sqrt{180}}{\sqrt{9}} = \frac{\sqrt{9} \sqrt{20}}{\sqrt{9}} = \sqrt{20} = \sqrt{4} \sqrt{5} = 2 \sqrt{5}$ $sqrt180 /sqrt9 = (sqrt 9 sqrt20) / sqrt9 = sqrt20 = sqrt4 sqrt5 = 2sqrt5$

Answer 2 · 2018-05-14T19:45:02

$2 \sqrt{5}$ $2sqrt5$

Explanation:

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

$∙ x \frac{\sqrt{a}}{\sqrt{b}} \Leftrightarrow \sqrt{\frac{a}{b}}$ $•color(white)(x)sqrta/sqrtbhArrsqrt(a/b)$

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

$\Rightarrow \frac{\sqrt{180}}{\sqrt{9}} = \sqrt{\frac{180}{9}} = \sqrt{20}$ $rArrsqrt180/sqrt9=sqrt(180/9)=sqrt20$

$\Rightarrow \sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2 \sqrt{5}$ $rArrsqrt20=sqrt(4xx5)=sqrt4xxsqrt5=2sqrt5$

Science

Math

Humanities

... and beyond

How do you simplify $\frac{\sqrt{180}}{\sqrt{9}}$ $sqrt180/sqrt9$ ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify √180√9sqrt180/sqrt9?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

How do you simplify $\frac{\sqrt{180}}{\sqrt{9}}$ $sqrt180/sqrt9$ ?