$\sqrt{\32+48}$ $\sqrt{\8+12}$

asked by guest
on Dec 27, 2024 at 12:45 am



You asked:

Evaluate the expression: \(\sqrt{32 + 48} \cdot \sqrt{8 + 12}\)

MathBot Answer:

\[\sqrt{32 + 48} \cdot \sqrt{8 + 12} = 40\]

\[\begin{aligned}\sqrt{32 + 48} \cdot \sqrt{8 + 12}& = \sqrt{80} \cdot \sqrt{8 + 12}\\& = 4 \cdot \sqrt{5} \cdot \sqrt{8 + 12}\\& = 4 \cdot \sqrt{5} \cdot \sqrt{20}\\& = 4 \cdot \sqrt{5} \cdot 2 \cdot \sqrt{5}\\& = 40\end{aligned}\]

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