The number 2025 is multiplied by the smallest number that makes it a perfect cube.
Given $2025 = 3^{4} \times 5^{2}$ , find the cube root of the resulting perfect cube.

Question

The number 2025 is multiplied by the smallest number that makes it a perfect cube. Given 2025 = 3^4 x 5^2, find the cube root of the resulting perfect cube.

Accepted Answer

45. 2025 = 3^4 x 5^2. To complete triples we need 3^2 x 5^1 = 9 x 5 = 45, giving 3^6 x 5^3 = (3^2 x 5)^3 = 45^3. Cube root = 45.

The number 2025 is multiplied by the smallest number that makes it a perfect cube.
Given $2025 = 3^{4} \times 5^{2}$ , find the cube root of the resulting perfect cube.

Step-by-Step Solution

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More Class 8 Cube Root by Prime Factorisation practice

The number 2025 is multiplied by the smallest number that makes it a perfect cube.Given 2025=34×52, find the cube root of the resulting perfect cube.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Cube Root by Prime Factorisation practice

The number 2025 is multiplied by the smallest number that makes it a perfect cube.
Given $2025 = 3^{4} \times 5^{2}$ , find the cube root of the resulting perfect cube.