Question

divide 259875 by the smallest number so that quotient will be a perfect square. Also find the cube root

Answer 1

hi friend : 
prime factors of 259875 are : 3*3*3*5*5*5*7*11
pairs = 3*5
since = 3*5*7*11 are unpaired 259875 should be divided by 1155
259875/1155=225
and square root of 225 is 15


to find cube root  : 

prime factors : 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 

hope i helped you pls mark it as brainliest answer

Answer 2

Answer:

hey!!

Step-by-step explanation:

prime factors of 259875 are : 3*3*3*5*5*5*7*11

pairs = 3*5

since = 3*5*7*11 are unpaired 259875 should be divided by 1155

259875/1155=225

and square root of 225 is 15

to find cube root  : 

prime factors : 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