Multiplying Radicals

Open Ended

How many animals do you see and what are they?

Dropdown

1) Rational Numbers are numbers that can be written as​

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or ​

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decimal, or​

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decimal.

2) Irrational Numbers are numbers that ​

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be written as a fraction and look like decimals that are continuing with ​

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pattern.

Multiple Choice

Simplify the radical expression:
$$\sqrt{2x^2y^3}$$  

• $$2y\sqrt{xy}$$  

• $$2x\sqrt{y^2}$$  

• $$y\sqrt{2xy}$$  

• $$xy\sqrt{2y}$$  

Multiple Choice

Simplify the radical expression:
$$\sqrt{128a^3b^4}$$  

• $$8ab^2\sqrt{2a}$$  

• $$2a\sqrt{8ab^2}$$  

• $$2ab\sqrt{64ab}$$  

• $$64ab^2\sqrt{2a}$$  

Multiple Choice

Simplify the cube root: $$\sqrt[3]{125x^7}$$

• $$5x^3\sqrt[3]{x}$$

• $$25x^3\sqrt[3]{x}$$

• $$5x^2\sqrt[3]{x}$$

• $$25x^2\sqrt[3]{x}$$

Multiple Choice

Simplify  $$9\ \sqrt[]{2}\ +12\ \sqrt[]{3}$$  

• $$21\ \sqrt[]{5}$$  

• $$21\ \sqrt[]{2}$$  

• $$21\ \sqrt[]{3}$$  

• Already simplified 

Multiple Choice

$$10\sqrt{45}-\sqrt{20}$$  

• $$32\sqrt{5}$$  

• $$88\sqrt{5}$$  

• $$28\sqrt{5}$$  

Multiple Choice

$$\sqrt[]{5}\ ⋅\ \ \sqrt[]{10}$$  

• 50
• $$2\ \sqrt[]{5}$$  

• $$5\ \sqrt[]{2}$$  

• $$5\ \sqrt[]{10}$$  

Multiple Choice

Simplify: $$6\sqrt{2}\ ⋅\ 5\sqrt{14}$$  

• $$32\sqrt{7}$$  

• $$60\sqrt{7}$$  

• $$2\sqrt{7}$$  

• $$30\sqrt{7}$$  

Multiple Choice

$$4\sqrt{6}\cdot\sqrt{3}$$  

• $$4\sqrt{9}$$  

• $$\sqrt{72}$$  

• $$4\sqrt{18}$$  

• $$12\sqrt{2}$$  

Multiple Choice

$$\sqrt{6}\left(2\sqrt{6}\right)$$  

• 12

• $$12\sqrt{6}$$  

• $$2\sqrt{36}$$  

• $$\sqrt{72}$$  

Multiple Choice

Find the area of the rectangle shown.

• $$18\sqrt{20}$$  

• $$12\sqrt{10}+6\sqrt{2}$$  

• $$9\sqrt{12}$$  

• $$36\sqrt{5}$$  

​Can you finish it?

Multiple Choice

Multiply and simplify if possible:

$$\sqrt[]{4x^2}\cdot\sqrt[]{6x^6}$$  

• $$\sqrt[]{10x^{10}}$$  

• $$2x^4\sqrt[]{6}$$  

• $$24x^8$$  

• $$x^4\sqrt[]{2}$$  

Multiple Choice

Multiply and simplify if possible:

$$\sqrt[]{x^4y^2}\cdot\sqrt[]{x^7y^5}$$  

• $$x^3y\sqrt[]{xy}$$  

• $$x^{11}y^7$$  

• $$x^5y^3\ \sqrt[]{xy}$$

• $$x^3y^2$$