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Square Root and Cube-Cube Root — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSSquare Root and Cube-Cube Root2 Marks
Question
Using prime factorisation, find which of the following are perfect squares.
$484$
✓

Answer

Prime factors of $484 = (2 \times 2) \times (11 \times 11)$
As grouping, there is no unpaired factor left over.
$\begin{array}{c|c} 2 & 484 \\ \hline 2 & 242\\\hline11&121\\\hline&1 \end{array}$
So, $484$ is a perfect square.

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