Question

Find square root of 144 by factorisation method​

Answer 1

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• Find square root of 144 by factorisation method.

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We can find the square root of 144 using the factorisation method. In this method, you need to factorise 144 first. Then, you'll get your answer in the form of prime factors. In this case, it's ⇨ 2 × 2 × 2 × 2 × 3 × 3.

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To find the square root using factorisation, we need to group the same number in pairs. That is, 2 × 2 × 2 × 2 × 3 × 3 by grouping same numbers in pairs will become ⇨ (2, 2), (2, 2), (3, 3).

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Now, you should take only 1 of the number from these groups. So, (2, 2), (2, 2), (3, 3) will change to ⇨ 2 × 2 × 3.

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Finally, just multiply this set of numbers to find the square root of 144. 2 × 2 × 3 = 4 × 3 =
`\large\boxed{\underline{\bf \: 12}}` ⇨ square root of 144.

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• The square root of 144 is 12.