Question

Question-1 -Is 135 a perfect cube?

Question 2. Find the cube roots of the following:
(a) 1728
(b) 3375 ​

Answer 1

Answer:

1. yes
2. a. 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

b So, the cube root of 3375 is 15.