Question

evaluate ³√1000 +³√0.008 -³√0.125

Answer 1

³√1000 + ³√0.008 - ³√0.125
= 10 + 0.2 - 0.5
= 9.7

Answer 2

Hi ,

i ) cubeth root of 1000

= ( 1000 )^1/3

= ( 10 × 10 × 10 )^1/3

= ( 10^3 )^1/3

= ( 10 )^3 × 1/3

= 10

ii) ( 0.008 )^1/3

= ( 0.2 × 0.2 × 0.2 )^1/3

= ( 0.2 )^3 × 1/3

= 0.2

iii) ( 0.125 )^1/3

= ( 0.5 × 0.5 × 0.5 )^1/3

= ( 0.5 )^3× 1/3

= 0.5

According to the problem,

( 1000 )^1/3 + ( 0.008 )^1/3 - ( 0.125 )^1/3

= 10 + 0.2 - 0.5

= 10.2 - 0.5

= 9.7

i hope this will useful to you.

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