Question

[7{8^1/3 + 1251/3}^2]1/3. Evaluate

Answer 1

Answer:

[7{8^1/3 + 125^1/3}^2]^1/3

= [7{ 2 + 5 }^2]^1/3

= [7× (7)^2]^1/3

= (7×49)1/3

=343^1/3

= 7

Thus your answer is 7

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Answer 2

Step-by-step explanation:

${(7{( {8}^{ \frac{1}{3} } + {125}^{ \frac{1}{3} } )}^{2} )}^{ \frac{1}{3} }$

$= {(7{( 2+ 5)}^{2} )}^{ \frac{1}{3} }$

$= {(7{( 7)}^{2} )}^{ \frac{1}{3} }$

$= {(7 \times 7 \times 7 )}^{ \frac{1}{3} }$

$= 7$