Question

find the square root of the fraction 81/121​

Answer 1

Answer:

9/11

Step-by-step explanation:

given ;81/121

to find;√(81/121)- (1)

we know that 81=9×9

=9^2

since 121=11×11

i.e=11^2

(1) - √(81/121)

we can write it as - √{(9^2)/(11^2)}

= 9/11

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Answer 2

We have,

$\quad \sqrt{ \frac{81}{121} } \\ \\ = \sqrt{ \frac{9 \times 9}{11 \times 11} } \\ \\ = \sqrt{ \frac{ {(9)}^{2} }{ {(11)}^{2} } } \\ \\ = \sqrt{ { \left( \frac{9}{11} \right) }^{2} } \\ \\ = { \left( \frac{9}{11} \right) }^{ \cancel{2} \times \large{ \frac{1}{ \cancel{2}} }} \\ \\ = \frac{9}{11}$
Hence,
$\\ \sqrt{ \frac{81}{121} } = \frac{9}{11}$