Question

evaluate ³√1000 +³√0.008 +³√0.125​

Answer 1

Answer:

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.

Step-by-step explanation:

Answer 2

Answer:

³√1000= 10

³√0.008= 0.2

³√0.125= 0.5

Therefore, ³√1000+³√0.008+³√0.125

10+ 0.2+ 0.5

10.07

Answer=10.07