3√32+3√22-3

asked by guest
on Sep 21, 2024 at 4:24 am



You asked:

Evaluate the expression: \(3 \cdot \sqrt{32} + 3 \cdot \sqrt{22} - 3\)

MathBot Answer:

\[3 \cdot \sqrt{32} + 3 \cdot \sqrt{22} - 3 = -3 + 3 \sqrt{22} + 12 \sqrt{2} \approx 28.04181002794742924931715503114978\]

\[\begin{aligned}3 \cdot \sqrt{32} + 3 \cdot \sqrt{22} - 3& = 3 \cdot 4 \cdot \sqrt{2} + 3 \cdot \sqrt{22} - 3\\& = 12 \cdot \sqrt{2} + 3 \cdot \sqrt{22} - 3\\& = \left(3 \cdot \sqrt{22} + 12 \cdot \sqrt{2}\right) - 3\\& = -3 + 3 \cdot \sqrt{22} + 12 \cdot \sqrt{2}\end{aligned}\]

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