Questions & Solutions
\(\textbf{1)}\) \( \sqrt{5} \cdot \sqrt{125} \) \(\,\,\,\)The answer is \(25\)
\(\,\,\,\,\,\,\,\,\,\sqrt{5\cdot 125}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{625}\)
\(\,\,\,\,\,\,\,\,\,\)The answer is \(25\)
\(\,\,\,\,\,\,\,\,\,\sqrt{5\cdot 125}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{625}\)
\(\,\,\,\,\,\,\,\,\,\)The answer is \(25\)
\(\textbf{2)}\) \(\sqrt{3}\cdot\sqrt{12}\)
\(\,\,\,\)The answer is \(6\)
\(\,\,\,\,\,\,\,\,\,\sqrt{3\cdot 12}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{36}\)
\(\,\,\,\,\,\,\,\,\,\)The answer is \(6\)
\(\,\,\,\,\,\,\,\,\,\sqrt{3\cdot 12}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{36}\)
\(\,\,\,\,\,\,\,\,\,\)The answer is \(6\)
\(\textbf{3)}\) \(\sqrt{6}\cdot\sqrt{3}\)
\(\,\,\,\)The answer is \(3\sqrt{2}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{6} \cdot \sqrt{3}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 3} \cdot \sqrt{3}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 3 \cdot 3}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 9}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2} \cdot \sqrt{9}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2} \cdot 3\)
\(\,\,\,\,\,\,\,\,\,\)The answer is \(3 \sqrt{2}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{6} \cdot \sqrt{3}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 3} \cdot \sqrt{3}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 3 \cdot 3}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 9}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2} \cdot \sqrt{9}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2} \cdot 3\)
\(\,\,\,\,\,\,\,\,\,\)The answer is \(3 \sqrt{2}\)
\(\textbf{4)}\) \(\sqrt{2}\cdot\sqrt{5}\)
\(\,\,\,\)The answer is \(\sqrt{10}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2} \cdot \sqrt{5}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 5}\)
\(\,\,\,\,\,\,\,\,\,\)The answer is \(\sqrt{10}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2} \cdot \sqrt{5}\)
\(\,\,\,\,\,\,\,\,\,\sqrt{2 \cdot 5}\)
\(\,\,\,\,\,\,\,\,\,\)The answer is \(\sqrt{10}\)
\(\textbf{5)}\) \(5\sqrt{8}\cdot 3\sqrt{2}\)
\(\,\,\,\)The answer is \(60\)
\(\,\,\,\,\,\,\,\,\,5\sqrt{8} \cdot 3\sqrt{2}\)
\(\,\,\,\,\,\,\,\,\,5 \cdot 3 \cdot \sqrt{8 \cdot 2} \)
\(\,\,\,\,\,\,\,\,\,15 \cdot \sqrt{16} \)
\(\,\,\,\,\,\,\,\,\,15 \cdot 4 \)
\(\,\,\,\,\,\,\,\,\,\)The answer is \(60\)
\(\,\,\,\,\,\,\,\,\,5\sqrt{8} \cdot 3\sqrt{2}\)
\(\,\,\,\,\,\,\,\,\,5 \cdot 3 \cdot \sqrt{8 \cdot 2} \)
\(\,\,\,\,\,\,\,\,\,15 \cdot \sqrt{16} \)
\(\,\,\,\,\,\,\,\,\,15 \cdot 4 \)
\(\,\,\,\,\,\,\,\,\,\)The answer is \(60\)
See Related Pages\(\)
\(\bullet\text{ Simplifying Square Roots}\)
\(\,\,\,\,\,\,\,\,\sqrt{32}=4\sqrt{2}…\)
\(\bullet\text{ Dividing Square Roots}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{\sqrt{12}}{\sqrt{3}}…\)
\(\bullet\text{ Adding and Subtracting Square Roots}\)
\(\,\,\,\,\,\,\,\,3\sqrt{2}-7\sqrt{2}…\)