Unit 4 Circles: Review of Radicals

Multiply remaining terms?

Circle the pairs of numbers

Make a factor tree

Bring pairs outside the radical (only once)

List factors under the radical

$$2\sqrt{14}$$  

$$4\sqrt{14}$$  

$$2\sqrt{28}$$  

$$2\sqrt{9}$$  

Like terms

Common terms

Terms with the same radicand

$$2\sqrt{2}$$  

$$3\sqrt{4}$$  

$$4\sqrt{2}$$  

$$4\sqrt{4}$$  

$$3\sqrt{3}+4\sqrt{6}$$  

$$7\sqrt{3}$$  

$$12\sqrt{3}$$  

$$7\sqrt{6}$$  

Simplify

Multiply

Nothing

$$6\sqrt{84}$$  

$$5\sqrt{19}$$  

$$12\sqrt{21}$$  

$$8\sqrt{10}$$  

$$12\sqrt[]{5}$$  

$$3\sqrt[]{5}$$  

45

$$3\sqrt[]{2}$$  

10

$$4\sqrt[]{30}$$  

100

$$2\sqrt[]{5}$$  

Multiplying

Adding and Subtracting

$$24\sqrt[]{10}$$  

20

40

180

$$8\sqrt[]{5}$$  

$$3\sqrt[]{3}$$  

$$8\sqrt[]{3}$$  

$$4\sqrt[]{2}$$  

$$\sqrt[]{2}$$  

$$\frac{15}{5}$$  

$$\frac{2\sqrt[]{5}}{3}$$  

$$\frac{\sqrt[]{2}}{2}$$  

$$\frac{\sqrt[]{15}}{9}$$  

$$\frac{2\sqrt[]{3}}{3}$$  

$$\frac{\sqrt[]{6}}{12}$$  

$$2\sqrt[]{6}$$  

$$\frac{\sqrt{5}}{5}$$  

$$\frac{\sqrt{3}}{12}$$  

$$\frac{5\sqrt{2}}{2}$$  

$$\frac{\sqrt{3}}{3}$$  

$$\frac{\sqrt{10}}{5}$$  

$$\frac{2\sqrt{5}}{5}$$  

$$\frac{\sqrt{5}}{2}$$  

$$\frac{\sqrt{15}}{3}$$  

$$\frac{4\sqrt{5}}{5}$$  

$$\frac{\sqrt{5}}{4}$$  

$$\frac{\sqrt{6}}{3}$$  

$$\frac{5\sqrt{2}}{2}$$