Maharashtra BoardEnglish MediumSTD 8MathsCubes and Cube Roots3 Marks
Question
Evaluate the following:
$\Big\{(6^2+8^2)^{\frac{1}{2}}\Big\}^3$
✓
Answer
To evaluate the value of the given expression, we can proceed as follows:
$\Big\{(6^2+8^2)^{\frac{1}{2}}\Big\}^3$
$=\Big\{(36+64)^{\frac{1}{2}}\Big\}^3$
$=\Big\{(100)^{\frac{1}{2}}\Big\}^3$
$=\Big\{\sqrt{(100)}\Big\}^3$
$=\Big\{\sqrt{(10\times10)}\Big\}^3$
$=\{10\}^3$
$10\times10\times10=1000$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.