(√8a + √6a)^2
You asked:
Evaluate the expression: \({\left( \sqrt{8} \cdot a + \sqrt{6} \cdot a \right)}^{2}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( \sqrt{8} \cdot a + \sqrt{6} \cdot a \right)}^{2} = \left(\sqrt{6} a + 2 \sqrt{2} a\right)^{2} \)
Expanded
\[{\left( \sqrt{8} \cdot a + \sqrt{6} \cdot a \right)}^{2} = 8 \sqrt{3} a^{2} + 14 a^{2}\]
Factored
\[{\left( \sqrt{8} \cdot a + \sqrt{6} \cdot a \right)}^{2} = a^{2} \left(\sqrt{6} + 2 \sqrt{2}\right)^{2}\]