Multiplying and dividing radicals

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How to simplify radicals?
- What is a radical?
- How to multiply radicals?
- How to divide radicals?
- General rules when we are dealing with variables in radicals

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Write the following as a single radical = $\sqrt{x}$ $x$
1. $\sqrt{3} \times \sqrt{8}$
2. $\sqrt{7 \times 11}$
3. $\sqrt{150} \over \sqrt{15}$
4. $\frac{( \sqrt{20} \times \sqrt{5})} {\sqrt{64}}$
Express the following radicals as a product of radicals
1. $\sqrt{45}$
2. - $\sqrt{77}$
Multiplying and dividing radicals
1. -4 $\sqrt{2}$ * - $\sqrt{2}$
2. 5 $\sqrt{2}$ * 6 $\sqrt{10}$ * 7 $\sqrt{50}$
3. $\sqrt{3 }$ ( $\sqrt{8} + 4)$
4. (4 $\sqrt{10 }$ - 3 $\sqrt{6}$ )(5 $\sqrt{2 } - \sqrt{5} )$