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The value of \( \Large \sqrt{2^{4}}+\sqrt[3]{64}+\sqrt[4]{2^{8}} \) is:

A) 12
B) 16
C) 18
D) 24

Correct Answer:

A) 12

Description for Correct answer:
\( \Large \sqrt{2^{4}}+\sqrt[3]{64}+\sqrt[4]{2^{8}} \)

=\( \Large 2^{4\times\frac{1}{2} }+4^{3 \times \frac{1}{3}} +2^{8 \times \frac{1}{4}}\)

=\( \Large 2^{2}+4^{1}+2^{2}\)

=\( \Large 4+4+4 \)=12

Part of solved Indices and Surd questions and answers : >> Elementary Mathematics >> Indices and Surd

Comments

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