Multiplying Radicals and Rationalizing Denominator

Right answer = +2
Wrong answer = -2

Red = Negative Points
Black = Positive Points

Risk

All work for BOTH partners must be shown at the end of game

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Multiply the radical expressions together.

$$5\sqrt[]{2}\cdot7\sqrt[]{3}$$  

•   $$12\sqrt[]{5}$$  

•   $$10\sqrt[]{21}$$  

•   $$35\sqrt[]{6}$$  

•   $$35\sqrt[]{5}$$  

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Multiple Choice

Multiply and simplify if possible:

$$\sqrt[]{x^4}\cdot\sqrt[]{x^5}$$  

• $$\sqrt[]{x^{20}}$$  

• $$\sqrt[]{x}$$  

• $$x^9$$  

• $$x^4\sqrt[]{x}$$  

Multiple Choice

Simplify:
√6 ⋅√6

• √36
• 2√3
• 12
• 6

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Multiple Choice

Rationalize the denominator:
$$\frac{2\sqrt{8}}{\sqrt{12}}$$  

• $$\frac{\sqrt{96}}{6}$$  

• $$\frac{2\sqrt{6}}{3}$$  

• $$\frac{2\sqrt{96}}{12}$$  

• $$\frac{4\sqrt{2}}{2\sqrt{3}}$$  

Multiple Choice

Rationalize the denominator:
$$\frac{7\sqrt{3}}{\sqrt{10}}$$  

• $$\frac{70\sqrt{3}}{10}$$  

• $$\frac{7\sqrt{3}}{100}$$  

• $$\frac{7\sqrt{30}}{10}$$  

• $$7\sqrt{3}$$  

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Multiple Choice

• xy√y
• x²y²√y
• xy√xy
• 2x2y√y

Multiple Choice

• y²z¹⁰√xy
• 20yz√xy
• xy²z¹⁰√y
• yz⁶√xy²z²