Question

can somebody help me simplify this given radical to the lowest form√112a^2 and try to explain it to me in layman's terms

Answer 1

`\bf √(112a^2)~~ \begin{cases} 112=2\cdot 2\cdot 2\cdot 2\cdot 7\\ \qquad 2^2\cdot 2^2\cdot 7\\ \qquad (2^2)^2\cdot 7 \end{cases}√((2^2)^2\cdot 7\cdot a^2)\implies 2^2a√(7)\implies 4a√(7)`