Question

Find the cube root of the following numbers.
(a) 8 (b) 512 (c) 1,728 1 (d) 5,832 (e) 10,648 (f) -216 (g) -729 (h) -13,824 (i) -27,000(j) 3,43,000​

Answer 1

1)Method to Find Value of Root 8

The actual answer for the square root of 8 is 2.82842712475.

2) 512

3

512

=(512)

3

1

=((2×2×2)×(2×2×2)×(2×2×2)

3

1

=(2

3

×2

3

×2

3

)

3

1

=(2

9

)

3

1

=2

3

3

512

=8.

3) 17281

Prime factorization mean factorizing with prime numbers

1728=

2∗2∗2

∗

2∗2∗2

∗

3∗3∗3

⇒2∗2∗3=12

4) 5832

Resolving into prime factors.

5832=

2∗2∗2

∗

3∗3∗3

∗

3∗3∗3

∴

3

5832

=2∗3∗3=18

5)10648

Writing the prime factors of 110648 we get:

10648= 2×2×2×11×11×11

Taking one prime number from each of the triplets of prime numbers we get

3

10648

=11×2=22

ok yaar are you satisfied

I am bore yaar ok