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!