1. Radical Unit
Simplifying Radicals
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2. Simplifying Radicals Rule 1: Rule 2: Rule 3: Rule 4:
There are NO perfect squares underneath the radical symbol.
Rule 2:
There are NO fractions underneath the radical symbol.
Rule 3:
There are NO radicals in the denominator.
There are NO negatives underneath a square root.
Rule 4:
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3. Simplifying Radicals
Think of biggest perfect square that’s a factor of 8:
4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, ..., 625
1st Method : Ask yourself, what are the factors of 8?
Any number(s) that does not have
a square root stays in the radical.

4. Simplifying Radicals
Think of biggest perfect square that’s a factor of 18:
4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, ..., 625
1st Method : Ask yourself, what are the factors of 18?
Or when in doubt,
prime factor out.

5. Simplifying Radicals
Think of biggest perfect square that’s a factor of 54:
4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, ..., 625
1st Method :Ask yourself, what are the factors of 54?
Or when in doubt,
prime factor out.

6. Simplifying Radicals
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7. Simplifying Radicals
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8. Simplifying Radicals
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9. Solving Radical Equations
To Solve:
Means there are 2 answers
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