Sure! Here are some basic exercises for multiplying and dividing radicals. Try to simplify the answers when possible.
Multiply the Radicals:
- \( \sqrt{2} \times \sqrt{3} \)
- \( 4\sqrt{5} \times 3\sqrt{2} \)
- \( \sqrt{7} \times \sqrt{14} \)
- \( \sqrt{6} \times \sqrt{6} \)
- \( \sqrt{12} \times \sqrt{3} \)
Divide the Radicals:
- \( \frac{\sqrt{20}}{\sqrt{5}} \)
- \( \frac{6\sqrt{3}}{2\sqrt{3}} \)
- \( \frac{\sqrt{15}}{\sqrt{3}} \)
- \( \frac{\sqrt{50}}{\sqrt{2}} \)
- \( \frac{5\sqrt{8}}{5} \)
Answers
Multiplication Answers:
- \( \sqrt{6} \)
- \( 12\sqrt{10} \)
- \( \sqrt{98} = 7\sqrt{2} \)
- \( 6 \)
- \( \sqrt{36} = 6 \)
Division Answers:
- \( \sqrt{4} = 2 \)
- \( 3 \)
- \( \sqrt{5} \)
- \( \sqrt{25} = 5 \)
- \( \sqrt{8} = 2\sqrt{2} \)
If you would like to practice more or need explanations for any of these calculations, feel free to ask!