Find the smallest number by which 1188 must be multiplied so that the product becomes a perfect cube. (1188 = 2 x 2 x 3 x 3 x 3 x 11.)

Question

Accepted Answer

2 x 11^2. 1188 = 2^2 x 3^3 x 11. We need 2^1 more (to make 2^3) and 11^2 more (to make 11^3). So multiply by 2 x 11^2 = 242. Then the product is a perfect cube.

Find the smallest number by which 1188 must be multiplied so that the product becomes a perfect cube $. (1188 = 2 \times 2 \times 3 \times 3 \times 3 \times 11.)$

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Perfect Cubes practice

Find the smallest number by which 1188 must be multiplied so that the product becomes a perfect cube.(1188=2×2×3×3×3×11.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Perfect Cubes practice

Find the smallest number by which 1188 must be multiplied so that the product becomes a perfect cube $. (1188 = 2 \times 2 \times 3 \times 3 \times 3 \times 11.)$