Question

please help me to find this answer​

Answer 1

Step-by-step explanation:

1. The cube root of 512 is the number which when multiplied by itself three times gives the product as 512. Since 512 can be expressed as 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 512 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2) =8

2. By prime factorisation method, we get

2744= 2×2×2×7×7×7

Taking the cube root on both the side, we get

3√2744=3√2×2×2×7×7×7

3√2744 = 2×7

3√2744=14

3. It is required to find the cube root of ,0.000729

this number can be rewritten as, 0.000729 = 729 /1000000

so the cube root of 0.000729 is equivalent to, 3√0.000729 = 3√729/ 3√1000000

fine the L.C.M of the number 729 as follow

729 = 3 x 3 x 3 x 3 x 3 x 3

1000000 = 100 x 100 x 100

so from we get

3√ 0.000729 = 3√ 3x 3 x 3 x 3 x 3 x 3 x3 /3√ 100 x100 x100

= 3 x 3 /100

= 9 /100 = 0.09