Question

how to find cube root of 30​

Answer 1

Well, 3 × 3 × 3 = 27 and 4 × 4 × 4 = 64, so we can guess the answer is between 3 and 4.

Let's try 3.5: 3.5 × 3.5 × 3.5 = 42.875

Let's try 3.2: 3.2 × 3.2 × 3.2 = 32.768

Let's try 3.1: 3.1 × 3.1 × 3.1 = 29.791

We are getting closer, but very slowly ... at this point, I get out my calculator and it says:

3.1072325059538588668776624275224...

... but the digits just go on and on, without any pattern. So even the calculator's answer is only an approximation !