Find the smallest number by which 10368 be divided so that the result is a perfect square. Also, find the square root of the resulting numbers.*
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Step-by-step explanation:
√10368 = √2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3
√10368 = √(2 x 2) (2 x 2) (2 x 2) x 2 x ( 3 x 3) (3 x 3)
√10368 = 2 x 2 x 2 x 3 x 3√2
√10368 = 72√2
Since 2 is not in group, 10368 must be divided by 2 which is 5184
√5184 = 72
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