Question

Find the smallest number by which 2025 must be multiplied to make it a perfect cube. Also find the cube root of the number thus obtained.

Answer 1

Given:

A number which is 2025

To find:

• smallest number by which 2025 must be multiplied to make it a perfect cube

• cube root of obtained number.

Solution:

1) We will do the prime factorization of 2025 which is given by:

2025 = 5×5×3×3×3×3

2) To find the cube from factorization we make the pairs of three.

3) To do so we need 5×3×3. By multiplying the number we get the number as 91125.

4) The cube root of 91125 is 45.

The smallest number multiplied is 45.

Cube root of that number is 45.

Answer 2

Answer:

Step-by-step explanation:

We will find the prime factors

2025=3*3*3*3*5*5

Hence,3 and 5 are not occouring as triplets

To make them triplets do 2025*5*3*3*5

=3*3*3*3*3*3*5*5*5

•°•³√91125=3*3*5=45

The smallest no multiplied is 45