Question

find the cube root of 1565 step by step​

Answer 1

Answer:

11.61

Step-by-step explanation:

The answer will come in decimals that means the number is not a perfect cube

By prime factorization.

5 1565

313 313

1

So there are no triplets in prime factorization of 1565 hence it is not a perfect cube

Answer 2

Answer:

11.61016

Step-by-step explanation:

By Prime Factorization Method:

In order to simplify cube root of 1565 by using prime factorization method, you follow these steps:

Step1) Find prime factors of 1565

Step2) Group the factors in 3 in such a way that each number of the group is same

Step3) Take one factor from each group

Step4) Find the product of the factors obtained in step 3. This product is the required cube root

Using the steps above, here is the math showing you how to simplify cube root of 1565.

1565 = 5*313

⇒ 1565 = 5^1*313^1

Therefore, ∛1565 = ∛(5^1*313^1)

= ∛1565

∛1565 is already in the simplest form and aproximately equals 11.61016 (In decimal form)