Question

(7(8^1/3+(125)^1/3)^2)^1/3​

Answer 1

Answer:

518.52

Step-by-step explanation:

(7( 8*1/3   (  125 ) *1/3)  *2 )*1/3

(7(8*1/3*125*1/3)*2)*1/3

(7*1000/9*2)*1/3

14000/9*1/3

14000/27

= 518.518

Answer 2

Solution :

i ) 8⅓ = ( 2³ )^1/3 = 2

ii ) 125^1/3 = (5³)^1/3 = 5

Now ,

(7(8^1/3+(125)^1/3)^2)^1/3

= [7{ 2 + 5 }² ]^1/3

= [ 7 × 7² ]^1/3

= (7³)^1/3

= 7

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