Find the square root of 5929- - Maths Q - A

Step 1: Finding the prime factors The prime factors of 5929 are5929=7× 7× 11× 11Step 2: Find the square root The square root of 5929 is5929=7× 7× 11× 110ex0ex⇒ ...

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Standard VIII

Mathematics

Square Root of a Number

Find the squa...

Question

Find the square root of $5929$ ..

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Solution

Step 1: Finding the prime factors
The prime factors of $5929$ are
$5929 = 7 \times 7 \times 11 \times 11$
Step 2: Find the square root
The square root of $5929$ is
$5929 = 7 \times 7 \times 11 \times 11 \Rightarrow \sqrt{5929} = \sqrt{7 \times 7 \times 11 \times 11} \Rightarrow \sqrt{5929} = 7 \times 11 \Rightarrow \sqrt{5929} = 77$
Hence, the square root of $5929$ is $77$

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Similar questions

Find the square root of the following number by prime factorisation method
(i) $729$
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(iii) $1764$
(iv) $4096$
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(vi) $9604$
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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) $8100$

Show that each of the following numbers is a perfect square. In each case, find the number whose square is the given number:
(i) 1225
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Q. Find the square root of

5929

Q. Find the square root of 5929 by the prime factorisation method.

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Find the square root of 5929..

Step 1: Finding the prime factors The prime factors of 5929 are5929=7×7×11×11Step 2: Find the square root The square root of 5929 is5929=7×7×11×11⇒5929=7×7×11×11⇒5929=7×11⇒5929=77Hence, the square root of 5929 is 77

Find the square root of $5929$ ..