Express in the simplest form- -175-27

The correct option is C 5/3√(7/3) √( 175 27 #160;) =√( 25*7 9*3 #160;) = 5 3 √( 7 3 #160;) ...

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Standard VIII

Mathematics

Estimating the Square Root

Express in th...

Question

Express in the simplest form.
$\sqrt{\frac{175}{27}}$

- \frac{5}{3} \sqrt{\frac{7}{3}}

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\frac{5}{3} \sqrt{\frac{7}{3}}

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\frac{5}{3} \sqrt{\frac{1}{3}}

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Solution

The correct option is C $\frac{5}{3} \sqrt{\frac{7}{3}}$
$\sqrt{\frac{175}{27}} = \sqrt{\frac{25 * 7}{9 * 3}} = \frac{5}{3} \sqrt{\frac{7}{3}}$

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Similar questions

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1) 6 : 8

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Question 6

Which of the following expressions show that rational numbers are associative under multiplication.
(a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$
(b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$
(c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$
(d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

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Express in the simplest form.√17527

The correct option is C 53√73√17527=√25∗79∗3=53√73

Express in the simplest form.
$\sqrt{\frac{175}{27}}$

The correct option is C $\frac{5}{3} \sqrt{\frac{7}{3}}$
$\sqrt{\frac{175}{27}} = \sqrt{\frac{25 * 7}{9 * 3}} = \frac{5}{3} \sqrt{\frac{7}{3}}$