Math, asked by StarTbia, 1 year ago

875,Find the smallest number by which the given number must be multiplied to obtain a perfect cube.

Answers

Answered by sachinkrslu51
2
when we multiply it by 49 we get perfect cube
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Answered by mysticd
5
Hi ,

Resolve the number into product of

prime .

5 | 875
__________
5 | 175
__________
5 | 35
__________
7 | 7
_______
****1

875 = 5 × 5 × 5 × 7

5 is in group of 3 .

To make 875 perfect cube we have to

multiply with ( 7 × 7 ) = 49

i.e 875 × 49 = 5³ ×7³

= ( 5 × 7 )³

= 35³ [ perfect cube ]

I hope this helps you.

: )
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