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.√
Algebra 2 – Sec. 10.3 Guided Notes
b. √
c. √
1
mrhamiltonmath.weebly.com
Check Point 1 Simplify each radical:
a.√
c. √
b. √
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
2
mrhamiltonmath.weebly.com
Algebra 2 – Sec. 10.3 Guided Notes
3
mrhamiltonmath.weebly.com
Algebra 2 – Sec. 10.3 Guided Notes
4
mrhamiltonmath.weebly.com