$(2\sqrt{6}$ - $5\sqrt{2} )^2$

asked by guest
on Jan 16, 2025 at 12:05 pm



You asked:

Evaluate the expression: \({\left( 2 \sqrt{6} - 5 \sqrt{2} \right)}^{2}\)

MathBot Answer:

\[{\left( 2 \sqrt{6} - 5 \sqrt{2} \right)}^{2} = \left(- 5 \sqrt{2} + 2 \sqrt{6}\right)^{2} \approx 4.71796769724490825890214633976511\]


\[\begin{aligned}{\left( 2 \sqrt{6} - 5 \sqrt{2} \right)}^{2}& = \left(2 \cdot \sqrt{6} - 5 \cdot \sqrt{2}\right)^{2}\\& = \left(-5 \cdot \sqrt{2} + 2 \cdot \sqrt{6}\right)^{2}\end{aligned}\]