On dan's ereader 2/3 of the books are fiction. of the fiction books 4/5 are mysteries.what fraction of the books on dan's ereader are mysteries

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Ответ:

datstepparoddoe27

17.09.2020

Mathematics

$$\sqrt{\frac{4 x^{2}}{3 y}}=\frac{2x }{\sqrt{3y} }$

Solution:

Given expression:

$$\sqrt{\frac{4 x^{2}}{3 y}}$

To simplify the given expression:

4 can be written as 2 × 2 = 2²

x can be written as x × x = x²

$$\sqrt{\frac{4 x^{2}}{3 y}}=\sqrt{\frac{2^2 x^{2}}{3 y}}$

$$=\sqrt{\frac{(2 x)^{2}}{3 y}}$

Using radical rule: $\sqrt{\frac{a^m}{b^m} } =\frac{ \sqrt{a^m} }{ \sqrt{b^n} }$

$$=\frac{\sqrt{(2x)^2} }{\sqrt{3y} }$

In numerator square and square root get cancelled.

$$=\frac{2x }{\sqrt{3y} }$

$$\sqrt{\frac{4 x^{2}}{3 y}}=\frac{2x }{\sqrt{3y} }$

Hence the expression is simplified.

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