What is (sqrt(20ab))/(sqrt(45a^2b^3)) ?

The solution to (sqrt(20ab))/(sqrt(45a^2b^3)) is 2/(3bsqrt(a))

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simplify (sqrt(20ab))/(sqrt(45a^2b^3))

simplify

\frac{20 ab}{45 a ^{2} b ^{3}}

\frac{2}{3 b a}

Solution steps

\frac{20 ab}{45 a ^{2} b ^{3}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

\frac{20 ab}{45 a ^{2} b ^{3}} = \frac{20 ab}{45 a ^{2} b ^{3}}

= \frac{20 ab}{45 a ^{2} b ^{3}}

Cancel

\frac{20 ab}{45 a ^{2} b ^{3}} : \frac{4}{9 a b ^{2}}

= \frac{4}{9 a b ^{2}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{4}{9 a b ^{2}}

4 = 2

= \frac{2}{9 a b ^{2}}

Simplify

9 a b^{2} : 3 b a

= \frac{2}{3 b a}

1 - (- 2)

\frac{4}{∣ x ∣ - 1} \leq ∣ x ∣ - 1

(3 x - 4)^{2} = 18

a^{3} - 1

n - 14 = 11

What is (sqrt(20ab))/(sqrt(45a^2b^3)) ?
The solution to (sqrt(20ab))/(sqrt(45a^2b^3)) is 2/(3bsqrt(a))