Find the smallest no. by which 1100 must be multiplied so that it become a perfect sq. Also fine the sq. root of the perfect sq. so obtained.
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Explanation:
Given number is 1100
It can be written as
1100=2×550
1100=2×2×275
1100=2×2×5×55
1100=2×2×5×5×11
1100=(2×2)×(5×5)×11
1100 should be multiplied by 11 so that it becomes a perfect square.
1100×11=12100=(2×2)×(5×5)×(11×11)
12100=(2×5×11)²=(110)²
√12100=110