Question

Q21 Find the smallest number by which 2700 must be multiplied so
that the quotient is a perfect cube?​

Answer 1

Answer:

Find the prime factors:

2250 = 2 x 3² x 5³

Define k:

let the number that is needed to be multiplied to 2250 to make it into a perfect cube be k.

Solve k:

2250 = 2 x 3² x 5³

2250k = 2³ x 3³ x 5³

k = 2² x 3 = 12

Answer: k = 12

PLZ MARK AS BRIANLIEST,FLW ME AND THX FOR THE SUPERB QUESTION

Answer 2

Factorization of 2700= 2*2*3*3*3*5*5

Pair of 3= 3*2*2*5*5

So when we multiple 2700 with 2*5 or 10 =27000

27000 is the perfect cube of 30