Question

find cube root of the following i) 512,ii)1728 iii
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Answer 1

Answer:

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.

The cube root of 1728 is the number which when multiplied by itself three times gives the product as 1728. Since 1728 can be expressed as 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3. Therefore, the cube root of 1728 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3) = 12.