Question

7 Find the smallest number by which 52728 must
divided so that the quotientent is a perfect cube.
&
8. by what least number 4320 be multiplied to 4320
obtain a number which is perfect cube.​

Answer 1

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52728= 3 x 2^3 x 13^3, and (2^3 x 13^3) is a perfect cube.So dividing 52728 by 3 would leave a quotient of 17576 which is 2^3 x 13^3 or 26^3.Thus the smallest such number as a divisor is 3and the cube root of the quotient is 26.

2.)4320=2×2×2×2×2×3×3×3×5
So,We need one 2 and two 5's.
We have to multiply 4320 by 2×5×5=50 to get 216000 which is cube of 60.

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Answer 2

Answer:

i have the same doubt

Step-by-step explanation: