Math, asked by manishr52451, 7 months ago

least number by which 18522 must be multiplied to get a perfect cube

Answers

Answered by ain4kay
1

Answer:

Step-by-step explanation:

Hi there!

Here's the answer:

• The Prime Factorization of 18252 is:

18252= 2 × 2 × 3 × 3 × 3 × 13 × 13

• In Exponential Form:

18252= 2² × 3³ × 13²

(Here multiply the powers of prime factor not having 3 as their powers)

To make it a perfect cube, 18252 is to be multiplied by 26(i.e., 2×13)

The No. is 18252×26= 474552

The cube root of is 2×3×13= 338.

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