please help me to find this answer
Answers
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