((2$\sqrt{5}$)(4 $\sqrt{3}$) + 7 $\sqrt{5}$)

asked by guest
on Jan 15, 2025 at 12:34 pm



You asked:

Evaluate the expression: \(2 \sqrt{5} \cdot 4 \sqrt{3} + 7 \sqrt{5}\)

MathBot Answer:

\[2 \sqrt{5} \cdot 4 \sqrt{3} + 7 \sqrt{5} = 7 \sqrt{5} + 8 \sqrt{15} \approx 46.63634261215786295629833887937813\]

\[\begin{aligned}2 \sqrt{5} \cdot 4 \sqrt{3} + 7 \sqrt{5}& = 2 \cdot \sqrt{5} \cdot 4 \cdot \sqrt{3} + 7 \cdot \sqrt{5}\\& = 8 \cdot \sqrt{5} \cdot \sqrt{3} + 7 \cdot \sqrt{5}\\& = 8 \cdot \sqrt{15} + 7 \cdot \sqrt{5}\\& = 7 \cdot \sqrt{5} + 8 \cdot \sqrt{15}\end{aligned}\]

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