Question

3✓10.4✓15=





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Answer 1

$\Large\boxed{\begin{array}{l}\sf3\sqrt{10}\cdot 4\sqrt{15}=3\sqrt{2\cdot5}\cdot4\sqrt{3\cdot5}\\\sf3\sqrt{10}\cdot4\sqrt{15}=3\cdot4\cdot\sqrt{2\cdot3\cdot5\cdot5}\\\sf3\sqrt{10}\cdot4\sqrt{15}=12\sqrt{6\cdot5^2}\\\sf3\sqrt{10}\cdot4\sqrt{15}=12\cdot5\sqrt{6}\\\sf3\sqrt{10}\cdot4\sqrt{15}=60\sqrt{6}\checkmark\end{array}}$