Question

find square root of 7921 by prime factorisation ​

Answer 1

sq root of 7921 is 89....

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Answer 2

To find:-

• Square root of 7921 by prime factorisation.

SoluTion:-

$\dag\;{\underline{\underline{\bf{\blue{Prime\;Factorization\;Method:-}}}}}$

• The method of prime factorization is used to “break down” or express a given number as a product of prime numbers.

$\begin{lgathered}\begin{array}{r | l} 89 & 7921 \\ \cline{1-2} 89 & 89 \\ \cline{1-2} & 1 \end{array}\end{lgathered}$

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✩ Prime factorisation of 7921 :-

$:\implies$ 89 × 89

$\therefore\;\sf \sqrt{7921} = \sqrt{(89 \times 89)}$

$:\implies\sf \sqrt{89^2}$

$:\implies{\underline{\boxed{\bf{\pink{89}}}}}$ ★

$\dag$ Hence, The square root of 7921 is 89.

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