$\sqrt{72}$ *3 $\sqrt{45}$

asked by guest
on Nov 16, 2024 at 12:10 pm



You asked:

Evaluate the expression: \(\sqrt{72} \cdot 3 \cdot \sqrt{45}\)

MathBot Answer:

\[\sqrt{72} \cdot 3 \cdot \sqrt{45} = 54 \sqrt{10} \approx 170.7629936490924839279402513993668\]

\[\begin{aligned}\sqrt{72} \cdot 3 \cdot \sqrt{45}& = 6 \cdot \sqrt{2} \cdot 3 \cdot \sqrt{45}\\& = 6 \cdot \sqrt{2} \cdot 3 \cdot 3 \cdot \sqrt{5}\\& = 18 \cdot \sqrt{2} \cdot 3 \cdot \sqrt{5}\\& = 54 \cdot \sqrt{10}\end{aligned}\]

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