1. Simplifying Square roots

2. Simplifying Square roots
Square roots that are not a perfect square root can be simplified using prime factorization
Break the number down into products of prime
Circle pairs of the same number ( these become whole numbers)
Multiply the whole numbers together ( this is the number outside the square root)
Multiply all the numbers not circled in your list of primes ( this is the number that goes inside the square root)

3. Example

4. Example

5. You Try

6. Rationalizing the denominator
We cannot have a square root left in the denominator
Multiply the top and bottom by the square root in the denominator
This takes away the square root in the denominator
Multiply the numerator and put the number under the square root
See if you can simplify the square root
After simplifying the square root see if you can reduce the fraction

7. Example

8. Example

9. You Try

10. Homework
Worksheet
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