Gujarat BoardEnglish MediumSTD 8MATHSCubes and Cube Roots3 Marks
Question
Evaluate the following: $\Big\{(5^2+12^2)^{\frac{1}{2}}\Big\}^3$
✓
Answer
To evaluate the value of the given expression, we can proceed as follows: $\Big\{(5^2+12^2)^{\frac{1}{2}}\Big\}^3$
$=\Big\{(25+144)^{\frac{1}{2}}\Big\}^3$
$=\Big\{(169)^{\frac{1}{2}}\Big\}^3$
$=\Big\{\sqrt{(169)}\Big\}^3$
$=\Big\{\sqrt{(13\times13)}\Big\}^3$
$=\{13\}^3$
$13\times13\times13=2197$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.