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Cube and Cube Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSCube and Cube Roots1 Mark
MCQ
Tick $(\checkmark)$ the correct answer: $\sqrt[3]{512}=\ ?$
  • A
    $5$
  • B
    $9$
  • ✓
    $8$
  • D
    $2$
✓

Answer

Correct option: C.
$8$
$\sqrt[3]{512}$
$\begin{array}{c|c}2&152\\\hline2&256\\\hline2&128\\\hline2&64\\\hline2&32\\\hline2&16\\\hline2&8\\\hline2&4\\\hline2&2\\\hline&1\end{array}$
$=\sqrt[3]{2\times2\times2\times2\times2\times2\times2\times2\times2}$
$=\sqrt[3]{2^3\times2^3\times2^3}$
$=2\times2\times2$
$=8$

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