Question

find the ones digit of the cube roots of the following numbers :-
a) 3375
b) 13824
c) 205379
d) 2744
please answer this question on notebook ​

Answer 1

Step-by-step explanation:

By ,prime factorization method ,we get

3375= 5×5×5×3×3×3

3375=5^3 ×3^3

taking the cube root on both the side, we get

3√3375 =3√5 ×5×5×3×3×3

= 3√3375 =5×3

3√3375 =15

cube root of 3375 is 15.

2. 13824=

on prime factorization,we get

13824 = 3×3×3×2×2×2×2×2×2×2×2×2

=2^3 × 2^3× 2^3× 3^3

then cube root of 13824 is

3√13824 = 3√24^3

=24

3. 205379

205379 /59 = 3481

3481/59= 59

therefore cube root of 205379 is 59

4.2744=

on prime factorization ,we get

2744 = 2×2×2×7×7×7

= 2^3 × 7^3

= 14

Therefore ,The cube root of 2744 is 14

I hope it will help you

Answer 2

Step-by-step explanation:

its right amsweer4nekj3