What is the value of ^@\sqrt[3]{ 4.096 }^@ ?


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Answer:

^@1.6^@

Step by Step Explanation:
  1. Let ^@x = \sqrt[3]{ 4.096 }^@
  2. Multiply both left and right hand side by ^@10^@,
    ^@\begin{align} & 10x = 10 \times \sqrt[3]{ 4.096 } \\ \implies & 10x = \sqrt[3]{ 4.096 \times 1000 } \\ \implies & 10x = \sqrt[3]{ 4096 } \end{align}^@
  3. Now find the cube root of ^@4096^@
    ^@ \implies 10x = \sqrt[3]{ 4096 } = 16\\ \implies x = \dfrac{ 16 }{ 10 } \\ \implies x = 1.6 ^@
  4. Therefore, the value of ^@\sqrt[3]{ 4.096 }^@ is ^@1.6^@.

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