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Question: Find the square root of 144.


A ) 14
B ) 22
C ) 24
D ) 12

Steps to derive

1 Draw the factor tree for 144 as shown in the figure.


2 From the factor tree, we can write 144 as 2 × 2 × 3 × 3 × 2 × 2 = 24 × 32.

3 The square root of 144 is 2 × 2 × 3 = 12.
 [Take two 2's and one 3 out of the four 2's and two 3's and multiply.]



Hence the right answer is Option D

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