What is the square root of 144?

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Detailed Solution

To find the square root of 144, we can use the following steps:

Step 1: Write the number 144 as a product of its prime factors. 144 = 2 x 2 x 2 x 2 x 3 x 3

Step 2: Group the factors in pairs, starting from the left. 144 = (2 x 2) x (2 x 2) x (3 x 3)

Step 3: Take one factor from each pair and multiply them together. 2 x 2 x 3 = 12

Step 4: The product obtained in step 3 is the square root of the original number. √144 = 12

Therefore, the square root of 144 by the factorization method is 12.

This method of finding square root is known as factorisation method.

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