Question

Question 33. Find the smallest
number by which 444528 must be
divided to obtain a perfect cube.
full explaination​

Answer 1

Answer:

The prime factorisation of 13720 yields

13720=2×2×2×7×7×7×5

13720=23×72×5

In order to be a perfect cube we hae to divide the given number with 5 then,

513720=523×73×5=(2×7)3=2744

Hence 5 is the least number by which 13720 must be divided so that the quotient ia a perfect square.

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Answer 2

Answer:

*Refer the attachment.