Question

CUBE ROOT OF (-31824) BY FACTORISATION MATHOD​

Answer 1

Answer:

31.689709298244

Step-by-step explanation:

Cube Root of 31824

What is cube root of 31824? The cube root of 31824 is written as ∛31824 and it is equals to 31.689709298244

Here we will show you how to simplify 3rd root of 31824, or convert 64 radical 3 to decimal form

The cube root of a number m is a number n such that n3 = m. If m is positive n will be positive, if m is negative n will be negative.

In order to simplify cube root of 31824 by using prime factorization method, you follow these steps:

Find prime factors of 31824

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

Take one factor from each group

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 31824.

31824 = 2222331317

⇒ 31824 = 232132131171

Therefore, ∛31824 = ∛(232132131171)

∛31824 = ∛(23) ∛(2132131171)

        = 2 ∛(2132131171)

        = 2 ∛3978

Then, the cube root of 31824 simplified can be expressed as :

= 2 ∛3978

≈ 31.689709298244 (In decimal form)