Question

calcule :

a)
$\sqrt{ \frac{36}{49} }$
b)
$- \sqrt{ \frac{64}{100} }$
c)
$\sqrt{ \frac{25}{9} }$
d)
$- \sqrt{ \frac{49}{4} }$
​

Answer 1

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$a) \: \: {\green{ \sqrt{ \frac{36}{49} } }} \\ \\ {\green{ \frac{ \sqrt{36} }{ \sqrt{49} } }} \\ \\ {\green{ \frac{ \sqrt{6 {}^{2} } }{ \sqrt{49} } }} \\ \\ {\green{ \frac{ \sqrt{6 {}^{2} } }{ \sqrt{7 {}^{2} } } }} \\ \\ {\green{ \frac{6}{ \sqrt{7 {}^{2} } } }} \\ \\ {\green{ \frac{6}{7} }}$

$b) \: \: {\green{ - \sqrt{ \frac{64}{100} } }} \\ \\ {\green{ - \sqrt{ \frac{16}{25} } }} \\ \\ {\green{ - \frac{4}{5} }}$

$c) \: \: {\green{ \sqrt{ \frac{25}{9} } }} \\ \\ {\green{ \frac{ \sqrt{25} }{ \sqrt{9} } }} \\ \\ {\green{ \frac{ \sqrt{5 {}^{2} } }{ \sqrt{9} } }} \\ \\ {\green{ \frac{ \sqrt{5 {}^{2} } }{ \sqrt{3 {}^{2} } } }} \\ \\ {\green{ \frac{5}{ \sqrt{3}{ {}^{ {}^{2} } } } }} \\ \\ {\green{ \frac{5}{3} }}$

$d) \: \: {\green{ - \sqrt{ \frac{49}{4} } }} \\ \\ {\green{ - \frac{ \sqrt{49} }{ \sqrt{4} } }} \\ \\ {\green{ - \frac{ \sqrt{7 {}^{2} } }{ \sqrt{4} } }} \\ \\ {\green{ - \frac{ \sqrt{7 {}^{2} } }{ \sqrt{2 {}^{2} } } }} \\ \\ {\green{ - \frac{7}{ \sqrt{2 {}^{2} } } }} \\ \\ {\green{ - \frac{7}{2} }}$

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