Question

find the cube root of 4.096 step by step​

Answer 1

Answer:a) ∛4.096 x 1000/1000 {so that we can remove the point}

 =4096/1000

 =4096/10 x 10 x 10 { so that we can prime factorize 1000 easily}

cube root of 4096= 2³x 2³x 2³x 2³/2³x 5³ { when you prime factorize 10 you will get 2 x 5 so, 1000=10 x 10 x 10 so, we should get 2 x 5 x 2 x 5 x 2 x 5 x 2 x 5 =2³x 5³}

 = 16/10

 = 1.6

b) -1728/2744

 cube root of -1728 is -12 and cube root of 2744 is 14

-12/14= -6/7

thank u bye

Answer 2

Answer:

by prime factorization

3 √4.096 =3 √ 2 × 2×2 × 2 ×2× 2 × 2 × 2 × 2 ×2 ×2 × 2

=2 × 2 × 2 × 2 = 16

therefore 3 √ 4.096 = 16

Step-by-step explanation:

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