Question

Find the smallest number by which 2250 should be divided to get a perfect cube

Answer 1

Answer:

the smallest number 12

Step-by-step explanation:

2. find the smallest number by which 2250 must be multiplied so that the product is a perfect cube

Answer 2

line by line solution,

first we have to find the prime factors

2250=2×3^2×5^3

let the no.that is needed to be multiplied to 2250 to make it into a perfect cube be K.

then ,solve K=

2250=2×3^2×5^3

2250K=2^3×3^3×5^3

K=2^2×3=12

K=12