What is sqrt((4a^2)/(27a)) ?

The solution to sqrt((4a^2)/(27a)) is (2sqrt(a))/(3sqrt(3))

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simplify sqrt((4a^2)/(27a))

simplify

\frac{4 a ^{2}}{27 a}

\frac{2 a}{3 3}

Solution steps

\frac{4 a ^{2}}{27 a}

Cancel

\frac{4 a ^{2}}{27 a} : \frac{4 a}{27}

= \frac{4 a}{27}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{4 a}{27}

Simplify

4 a : 2 a

= \frac{2 a}{27}

27 = 33

= \frac{2 a}{3 3}

\frac{x ^{2} + 4 x - 5}{x ^{2} - 2 x + 1}

3 x^{4} - 16 x^{2}

2 x^{2} - 2 x - 112

- 3 y - 5 x^{3} + 6 + 2 - 4 y + 5 y + 6 x^{3}

(\frac{5 x ^{- 2} y}{x ^{- 5}})^{3}

What is sqrt((4a^2)/(27a)) ?
The solution to sqrt((4a^2)/(27a)) is (2sqrt(a))/(3sqrt(3))