Question

Find the cube root by prime factorisation . ----- 12167​

Answer 1

Answer:

12167 cube root is 23

Step-by-step explanation:

Mark BRAINLIEST plz plz

Answer 2

Answer

=23

Step-by-step explanation:

Given : 12167

To find: Find the cube root of 12167 by prime factors

Solution:

Prime Factorization

23 | 12167

23 | 529

23 | 23

| 1

So, 12167 = 23\times 23\times 2312167=23×23×23

\sqrt[3]{12167} = \sqrt[3]{23\times 23\times 23}

3

12167

=

3

23×23×23

\sqrt[3]{12167} = \sqrt[3]{23^{23}

\sqrt[3]{12167} = 23

3

12167

=23

Hence the cube root of 12167 is 23