Simplifying Adding and Subtracting Radicals

Simplify:

$$\sqrt{63}$$  

Add

$$2\sqrt[]{5}+4\sqrt[]{5}$$  

Add the radicals below

$$\sqrt[]{5}+\sqrt[]{20}$$  

Hint: Simply $$\sqrt[]{20}$$ first.

Subtract the radical expressions below

$$-13\sqrt[]{11}-13\sqrt[]{11}$$  

Subtract the radical expressions below

$$4\sqrt[]{12}-5\sqrt[]{27}$$  

Hint: SImplify $$\sqrt[]{12}$$ and $$\sqrt[]{27}$$ first. Look back to slide 3, if needed.

Add the radical expressions below and simplify the result.

$$9\sqrt[]{2}+12\sqrt[]{3}$$  

Multiply the radical expressions and simplify the result.

$$\sqrt[]{5}\cdot\sqrt[]{10}$$  

Multiply the radical expressions and simplify the result.

$$4\sqrt{6}\cdot\sqrt{3}$$  

Multiply the radical expressions and simplify the result.

$$-3\sqrt[]{2}\cdot5\sqrt[]{3}$$  

Multiply and simplify:

$$\sqrt[]{6}\cdot\sqrt[]{6}$$  

Multiply and simplify

$$\sqrt[]{3}\cdot\sqrt[]{15}$$