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Questions & Solutions

\(\textbf{1)}\) \( \sqrt{5} \cdot \sqrt{125} \)

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\(\,\,\,\)The answer is \(25\)

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\(\,\,\,\,\,\,\,\,\,\sqrt{5\cdot 125}\)

\(\,\,\,\,\,\,\,\,\,\sqrt{625}\)

\(\,\,\,\,\,\,\,\,\,\)The answer is \(25\)

\(\textbf{2)}\) \(\sqrt{3}\cdot\sqrt{12}\)

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\(\,\,\,\)The answer is \(6\)

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\(\,\,\,\,\,\,\,\,\,\sqrt{3\cdot 12}\)

\(\,\,\,\,\,\,\,\,\,\sqrt{36}\)

\(\,\,\,\,\,\,\,\,\,\)The answer is \(6\)

\(\textbf{3)}\) \(\sqrt{6}\cdot\sqrt{3}\)

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\(\,\,\,\)The answer is \(3\sqrt{2}\)

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\(\,\,\,\,\,\,\,\,\,\sqrt{6} \cdot \sqrt{3}\)

\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 3} \cdot \sqrt{3}\)

\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 3 \cdot 3}\)

\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 9}\)

\(\,\,\,\,\,\,\,\,\,\sqrt{2} \cdot \sqrt{9}\)

\(\,\,\,\,\,\,\,\,\,\sqrt{2} \cdot 3\)

\(\,\,\,\,\,\,\,\,\,\)The answer is \(3 \sqrt{2}\)

\(\textbf{4)}\) \(\sqrt{2}\cdot\sqrt{5}\)

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\(\,\,\,\)The answer is \(\sqrt{10}\)

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\(\,\,\,\,\,\,\,\,\,\sqrt{2} \cdot \sqrt{5}\)

\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 5}\)

\(\,\,\,\,\,\,\,\,\,\)The answer is \(\sqrt{10}\)

\(\textbf{5)}\) \(5\sqrt{8}\cdot 3\sqrt{2}\)

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\(\,\,\,\)The answer is \(60\)

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\(\,\,\,\,\,\,\,\,\,5\sqrt{8} \cdot 3\sqrt{2}\)

\(\,\,\,\,\,\,\,\,\,5 \cdot 3 \cdot \sqrt{8 \cdot 2} \)

\(\,\,\,\,\,\,\,\,\,15 \cdot \sqrt{16} \)

\(\,\,\,\,\,\,\,\,\,15 \cdot 4 \)

\(\,\,\,\,\,\,\,\,\,\)The answer is \(60\)

See Related Pages\(\)

\(\bullet\text{ Simplifying Square Roots}\)
\(\,\,\,\,\,\,\,\,\sqrt{32}=4\sqrt{2}…\)

\(\bullet\text{ Dividing Square Roots}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{\sqrt{12}}{\sqrt{3}}…\)

\(\bullet\text{ Adding and Subtracting Square Roots}\)
\(\,\,\,\,\,\,\,\,3\sqrt{2}-7\sqrt{2}…\)

In Summary

Multiplying square roots is a mathematical operation that involves combining square roots by multiplying the numbers inside the square root symbols. To multiply square roots, we simply multiply the numbers inside the square root symbols together, and the numbers outside the square roots together.

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