Divide 259875 by smallest number so that the quotient is a perfect cube. Also find the cube root of no.so obtained

Asked by aroranilay4 | 9th Jul, 2019, 05:44: PM

Expert Answer:

259875 =  3 × 3 × 3 × 5 × 5 × 5 × 7 × 11
pairs are 3 × 5
since 3 × 5 × 7 × 11 are unpaired 259875 should be divided by 3 × 5 × 7 × 11 we get
259875/(3 × 5 × 7 × 11) = 259875/1155 = 225 and square root of 225 is 15

To find cube root  : 
prime factors are 3 × 3 × 3 × 5 × 5 × 5 × 7
pairs for cube root = 3 × 5
since 7 is unpaired so 259875 should be divided by 7 to get a perfect cube 259875 / 7 = 37125
and the cube root of 37125 is 33.359 

Answered by Sneha shidid | 9th Jul, 2019, 06:06: PM