Algebra 2 – Sec. 10.3 Guided Notes 1 mrhamiltonmath.weebly.com

Name:_________________________________________ Date:________________ Hour:___________

Algebra 2 – Sec. 10.3 Guided Notes Part 1 “Multiplying and Simplifying Radical Expressions”

Perfect Squares

1² = 1 2² = 4 3² = 9 4² = 16 5² = 25 6² = 36 7² = 49 8² = 64 9² = 81 10² = 100

11² = 121 12² = 144 13² = 169 14² = 196 15² = 225 16² = 256 17² = 289 18² = 324 19² = 361 20² = 400

Steps for simplifying radicals:

1. Find the perfect square that divides evenly into the radicand (number under the radical

symbol).

2. Rewrite the radical as two radicals multiplied together, one with the perfect square and

the other number used to multiply to the radicand.

3. Take the square root of the perfect square and write that in front of the left over radical.

Example 1 Simplify each radical:

a.√ b. √ c. √

Algebra 2 – Sec. 10.3 Guided Notes 2 mrhamiltonmath.weebly.com

Check Point 1 Simplify each radical:

a.√ b. √ c. √

Example 2 Simplify each radical:

a.√ b. √ c. √

d. √

Check Point 2 Simplify each radical:

a.√ b. √ c. √

d. √

Algebra 2 – Sec. 10.3 Guided Notes 3 mrhamiltonmath.weebly.com

Algebra 2 – Sec. 10.3 Guided Notes 4 mrhamiltonmath.weebly.com