Adding and Subtracting Radicals

​9.1 D3 Add/Subtract Radicals

​Learning Target

• SWBAT add and subtract radicals expressions

Multiple Choice

Simplify: $$\sqrt{28}$$

• $$4\sqrt{7}$$

• $$2\sqrt{7}$$

• $$3\sqrt{7}$$

• $$5\sqrt{7}$$

Multiple Choice

Simplify: $$\sqrt{600a^2}$$

• $$6\sqrt{10a}$$

• $$10a\sqrt{6}$$

• $$10\sqrt{6a}$$

• $$6a\sqrt{10}$$

Multiple Choice

Simplify: $$\sqrt{80a^5b^{10}}$$

• $$4ab\sqrt{5a}$$

• $$4a^2b^5\sqrt{5a}$$

• $$4a^2b\sqrt{5b^5}$$

• $$4a^3b^2\sqrt{5b^6}$$

Multiple Choice

Simplify: $$2\sqrt{32x^3}$$

• $$8x\sqrt{2x}$$

• $$2x\sqrt{8x}$$

• $$8x^2\sqrt{2x}$$

• $$2x^2\sqrt{x}$$

​Adding & Subtracting Radicals

​Example 1: Add/Subtract Radicals

​Example 2: Add/Subtract Radicals

​Example 3: Find the Perimeter

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Multiple Choice

Simplify: $$2\sqrt{7}+3\sqrt{7}$$

• 7√2
• 10√7
• √14
• 5√7

Multiple Choice

Simplify: $$\sqrt{20}-\sqrt{45}$$

• $$-\sqrt{30}$$

• $$-\sqrt{5}$$

• $$-\sqrt{25}$$

• $$-\sqrt{15}$$