Question

find the square the square root of 8684 using factorisation method​

Answer 1

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Answer 2

Answer :-

$\begin{array} {r | l} 2& 8684\\\cline{1-2} 2 & 4342\\\cline{1-2} 13 & 2171\\\cline{1-2} 167& 167\\ \cline{1-2} 1& 1\\\end {array}$

$\rm{Factors\ of\ 8684} \implies \underbrace{2\times2}\times 13\times167$

$\sqrt{8684} =\sqrt{\underbrace{2\times 2}\times 13\times 167}$

$\sqrt{8684} =\sqrt[2]{13\times167}$

$\sqrt{8684} =\sqrt[2]{2171}$

$\sqrt{8684} = 93.187982057774$

∴Square root of 8684 = 93.187982057774

Follow the following steps to find square root by factorisation

• Resolve the given number into prime factors.

• Make pairs of similar factors.

• Take the product of prime factors, choosing one factor out of every pair.