(2√8 − 3√2)^2

asked by guest
on Sep 25, 2024 at 9:32 am



You asked:

Evaluate the expression: \({\left( 2 \cdot \sqrt{8} - 3 \cdot \sqrt{2} \right)}^{2}\)

MathBot Answer:

\[{\left( 2 \cdot \sqrt{8} - 3 \cdot \sqrt{2} \right)}^{2} = 2\]

\[\begin{aligned}{\left( 2 \cdot \sqrt{8} - 3 \cdot \sqrt{2} \right)}^{2}& = \left(2 \cdot \sqrt{8} - 3 \cdot \sqrt{2}\right)^{2}\\& = \left(2 \cdot 2 \cdot \sqrt{2} - 3 \cdot \sqrt{2}\right)^{2}\\& = \left(4 \cdot \sqrt{2} - 3 \cdot \sqrt{2}\right)^{2}\\& = \left(\sqrt{2}\right)^{2}\\& = 2\end{aligned}\]

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