Question

find the smallest number by which - 6125 should be multiplied to make it a perfect cube.​

Answer 1

Answer:

make it a perfect cube you should multiply by 7.

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Answer 2

Answer:

the smallest no is 7

Step-by-step explanation:

for finding the smallest no. to mke a no. perfect cube we can use prime factorization method. so when we will factorize 6125, it would be somewhat like this:

6125=5*5*5*7*7

[ so to make a perfect cube, we need to make pairs of 3 of similar nos.]

so here,

6125=5*5*5*7*7

7 cannot be made into pair as 1 no. is less so that means we need one more 7 so 7 will be the smallest no. to be multiplied.

and the new no. would be=[multiplying both sides with 7]

6125*7=5*5*5*7*7*7

so the new cube and cuberoot will be=

42875=5*7

42875=35

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