Question

find the square root of 16641/4489 and please give the steps

Answer 1

square root of 16641

= 129

square root of 4489

= 67

sqroot of the given question

= 129 / 67

Answer 2

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《《 Here is your answer 》》
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By Prime factorisation :

$16641 = 3 ×3 × 43 × 43 = {3}^{2} \times {43}^{2} \\ \\ 4489 = 67 \times 67 = {67}^{2}$

Now , according to question .

$= \sqrt{ \frac{16641}{4489} } \\ \\= \sqrt{ \frac{ {3}^{2} \times {43}^{2} }{ {67}^{2} } } \\ \\ = \frac{3 \times 43}{67} \\ \\ = \frac{129}{67}$
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《《 Hope it may helpful to you 》》

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