Question

Find cube root of 133100 by prime factorisation only

Answer 1

Answer:

The cubed root of one hundred and thirty-three thousand, one hundred ∛133100 = 51.057477169741

Step-by-step explanation:

First we will find all factors under the cube root: 133100 has the cube factor of 1331.Let's check this with ∛1331*100=∛133100. As you can see the radicals are not in their simplest form.Now extract and take out the cube root ∛1331 * ∛100. Cube of ∛1331=11 which results into 11∛100All radicals are now simplified. The radicand no longer has any cube factors.