Question

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Answer 1

$a)\sqrt{5 \frac{4}{9} } = \sqrt{ \frac{49}{3} } = \frac{7}{3} \\ \\ b)\sqrt{1 \frac{24}{25} } = \sqrt{ \frac{49}{25} } = \frac{7}{5} \\ \\ d)\ \sqrt{( \frac{2}{3} )^{2} } = | \frac{2}{3} | = \frac{2}{3}$

$e)\sqrt{( - \frac {4}{25} )^{2} } = | - \frac{4}{25} | = \frac{4}{25} \\ \\ f)\sqrt{ \frac{19^{2} }{13^{2} } } = \frac{19}{13} \\ \\ g) \sqrt{ \frac{23 ^{2} }{37^{2} } } = \frac{23}{37}$

$h) \sqrt{ \frac{5^{4} }{7^{4} } } = \frac{5 ^{2} }{7^{2} } = \frac{25}{49} \\ \\ j) \sqrt{ \frac{4^{3} }{9^{5} } } = \frac{64}{59049} = \frac{8}{243} \\ \\ k) \sqrt{ \frac{3 ^{6} \times 2 ^{4} }{5 ^{2} } } = \frac{3 ^{3} \times 2 ^{2} }{5} = \frac{27 \times 4}{5} = \frac{108}{5}$

$l)\sqrt{ \frac{14^{2} }{11^{2} \times 3^{2} } } = \frac{14}{11 \times 3} = \frac{14}{33}$