Multiply and Divide Radicals Quick Check

Answer 1

Sure! Here are some basic exercises for multiplying and dividing radicals. Try to simplify the answers when possible.

Multiply the Radicals:

1. \( \sqrt{2} \times \sqrt{3} \)
2. \( 4\sqrt{5} \times 3\sqrt{2} \)
3. \( \sqrt{7} \times \sqrt{14} \)
4. \( \sqrt{6} \times \sqrt{6} \)
5. \( \sqrt{12} \times \sqrt{3} \)

Divide the Radicals:

1. \( \frac{\sqrt{20}}{\sqrt{5}} \)
2. \( \frac{6\sqrt{3}}{2\sqrt{3}} \)
3. \( \frac{\sqrt{15}}{\sqrt{3}} \)
4. \( \frac{\sqrt{50}}{\sqrt{2}} \)
5. \( \frac{5\sqrt{8}}{5} \)

Answers

Multiplication Answers:

1. \( \sqrt{6} \)
2. \( 12\sqrt{10} \)
3. \( \sqrt{98} = 7\sqrt{2} \)
4. \( 6 \)
5. \( \sqrt{36} = 6 \)

Division Answers:

1. \( \sqrt{4} = 2 \)
2. \( 3 \)
3. \( \sqrt{5} \)
4. \( \sqrt{25} = 5 \)
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!