Question

Cube root by prime factorization. A) 4.096
B) -1728/2744

Answer 1

Answer:

√72+√800-√18

⇒ √(36*2)+√(400*2)-√(9*2)

⇒6√2+20√2-3√2

⇒23√2

Step-by-step explanation:

Answer 2

ᓚᘏᗢ

Answer:

a) 1.6

b)-6/7

Step-by-step explanation:

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

HOPE IT HELPS YOU!!

(●'◡'●)