Home
Class 8
MATHS
Find the cube root of 13824 by prime fa...

Find the cube root of `13824` by prime factorization method.

A

`24`

B

`21`

C

`22`

D

`23`

Text Solution

Verified by Experts

The correct Answer is:
`A`
Prime Factorization of `13824 = 2 xx 2xx 2 xx 2 xx 2xx 2xx 2 xx2 xx 2xx 3xx 3xx 3 = 2^3 xx 2^3xx 2^3 xx 3^3`
Therefore, `root3(13824) = 2 xx 2xx 2xx3 = 24`
Promotional Banner

Topper's Solved these Questions

  • CUBES AND CUBE ROOTS

    NCERT|Exercise EXERCISE 7.1|4 Videos

  • CUBES AND CUBE ROOTS

    NCERT|Exercise EXERCISE 7.1|4 Videos

  • COMPARING QUANTITIES

    NCERT|Exercise EXERCISE 8.1|6 Videos

  • DATA HANDLING

    NCERT|Exercise EXERCISE 5.1|5 Videos

Similar Questions

Explore conceptually related problems

Find the cube root of 85184 by prime factorisation method.

Find the cube root of 262144 by prime factorisation method.

Find the square root of 11025 by prime factorization.

Find the square root of 7744 by prime factorization.

Find the square root of 298116 by prime factorization.

Find the cube root of 10648 through Prime factorization

Find the HCF of 126 and 144 by prime factorization method.

Find the LCM of 30,75 and 120 by prime factorization method.

Find the HCF os 180,252 and 324 by prime factorization method.

Find the H.C.F of 144 and 192 by prime factorization method.