Question

^3 √135 + ^3 √625
cube square root of 135 + cube square root of 625

Answer 1

Answer:

Ans=8(5)^1/3

Step-by-step explanation:

(135)^1/3 + (625)^1/3

taking prime factors of 135 and 625

(5*3*3*3)^1/3 +(5*5*5*5)^1/3

[ 5 *(3)^3]^1/3 + [ (5)*(5)^3]^1/3

by using the law of power multiplication

[ (5)^1/3 * (3)^3*1/3 ] + [ (5)^1/3 * (5)^3*1/3 ]

(5)^1/3 * (3)^1 + (5)^1/3 * (5)^1

(5)^1/3 [ 3+5]

8(5)^1/3