Q. 6

# Find the smallest number by which 1152 must be divided so that it becomes a square. Also, find the square root of the number so obtained.

1152 = (2 × 2) × (2 × 2) × 2 × (3 × 3)

Here 2 is unpaired so we have to divide 1152 with 2

Therefore,

= 22 × 22 × 22 × 32

Hence,

Square root of numbers = = 2 × 2 × 2 × 3

= 24

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