Question
Find the value of `[5(8^(1/3) + 27^(1/3))^3]^(1/4)`
Answer: Option D
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Sol. `[5(8^(1/3) + 27^(1/3))^3]^(1/4)`
= `[5(2^3)^(1/3) + (3^3)^(1/3))^3]^(1/4)`
=`[5{2^(3 xx 1/3) + 3^(3 xx 1/3)}^3]^(1/4)`
= `[5(2 + 3)^3]^(1/4)`
= `(5 xx 5^3)^(1/4)`
= `(5^4)^(1/4)` = `5^(4 xx 1/4)` = `5^1` = 5.
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