Find the root of $529$ by the Prime Factorisation Method

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Solution

Find the square root by prime factorisation method:
Given number, $529$
Factorisation,
$∴ 529 = 23 \times 23$
So, the square root of $529$ is
$529 = 23 \times 23 \Rightarrow \sqrt{529} = \sqrt{23 \times 23} ∴ \sqrt{529} = 23$
Hence, the square root of $529$ is $23$ .

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Find the square root of the following number by prime factorisation method
(i) $729$
(ii) $400$
(iii) $1764$
(iv) $4096$
(v) $7744$
(vi) $9604$
(vii) $5929$
(viii) $9216$
(ix) $529$
(x) $8100$

Find the square roots of the following numbers by the Prime Factorisation Method.

(i) $729$ (ii) $400$ (iii) $1764$ (iv) $4096$ (v) $7744$ (vi) $9604$ (vii) $5929$ (viii) $9216$ (ix) $529$ (x) $8100$

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Find the root of 529 by the Prime Factorisation Method

Find the square root by prime factorisation method:Given number, 529Factorisation, ∴529=23×23So, the square root of 529 is529=23×23⇒529=23×23∴529=23Hence, the square root of 529 is 23.

Find the root of $529$ by the Prime Factorisation Method

Find the square root by prime factorisation method:
Given number, $529$
Factorisation,
$∴ 529 = 23 \times 23$
So, the square root of $529$ is
$529 = 23 \times 23 \Rightarrow \sqrt{529} = \sqrt{23 \times 23} ∴ \sqrt{529} = 23$
Hence, the square root of $529$ is $23$ .