What is the value of ^@\sqrt[3]{ 4.096 }^@ ?
Answer:
^@1.6^@
- Let ^@x = \sqrt[3]{ 4.096 }^@
- 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}^@ - Now find the cube root of ^@4096^@
^@ \implies 10x = \sqrt[3]{ 4096 } = 16\\ \implies x = \dfrac{ 16 }{ 10 } \\ \implies x = 1.6 ^@ - Therefore, the value of ^@\sqrt[3]{ 4.096 }^@ is ^@1.6^@.