Question

square root of 81/100​

Answer 1

$\sqrt{ \frac{81}{100} } \\ \\ = \sqrt{ \frac{ {(9)}^{2} }{ {(10)}^{2} } } \\ \\ = \sqrt{( { \frac{9}{10} })^{2} } \\ \\ = \frac{9}{10} \\ \\ = 0.9$

Answer 2

SOLUTION

TO DETERMINE

$\displaystyle \sf{ Square \: root \: of \: \: \frac{81}{100} }$

EVALUATION

We have to find ,

$\displaystyle \sf{ Square \: root \: of \: \: \frac{81}{100} }$

We find it as below

$\displaystyle \sf{ Square \: root \: of \: \: \frac{81}{100} }$

$\displaystyle \sf{ = \sqrt{ \frac{81}{100} }}$

$\displaystyle \sf{ = \sqrt{ \frac{3 \times 3 \times 3 \times 3}{2 \times 2 \times 5 \times 5} }}$

$\displaystyle \sf{ = \sqrt{ \frac{ {3}^{2} \times {3}^{2} }{ {2}^{2} \times {5}^{2} } }}$

$\displaystyle \sf{ = \frac{3 \times 3}{2 \times 5} }$

$\displaystyle \sf{ = \frac{9}{10} }$

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