Simplifying Radicals

1
Simplifying Radicals
2
Radical and Radicand

• What are they?

Radical sign
Radicand or expression under radical symbol
Positive or Negative
3
Perfect Squares

• Numbers whose square roots are integers or
  quotients of integers.
• Examples 4, 16, 25, 100, ¼

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Example 1

• Simplify

-5
4
5
What if the radicand is not a perfect square?

• Ex.1 Simplify. Leave in radical form.

Write the prime factorization of 8!
2
2
2
Now circle your pairs!
Pull out one number and throw out the other one.
What is left?
6
Example 2

• Simplify. Leave in radical form.

Write the prime factorization of 24!
2
2
3
2
Now circle your pairs!
Pull out one number and throw out the other one.
What is left?
7
Example 3

• Simplify. Leave in radical form.

Write the prime factorization of 80!
2
2
2
5
2
Now circle your pairs!
Pull out one number from each pair and throw out
the other ones.
What is left?
8
Example 4

• Simplify. Leave in radical form.

9
Example 5

• Give an approximation. Round to the nearest
  hundredth.

8.83