2. Number Jail √ 3 Think of the radical sign as Number Jail

3. Jailhouse Rules Rule 1. Everyone wants out of Number Jail. Rule 2. To get out of jail, a number must post bail. Rule 3. The amount of bail is the number that wants out.

4. Getting Out of Jail Example: √ 24 1.Find the Prime Factorization of the prisoner. 24 2 12 2 3 2 6 √ 2·2·2·3

5. 2. Identify all pairs of like factors. √ 2·2·2·3 3. For each pair, one number gets out. The other goes to the state for bail. 4. Multiply back together inner & outer. 2√ 2·3

6. Getting Out of Jail Example: √ 216 1.Find the Prime Factorization of the prisoner. 216 2 108 2 27 2 54 √ 2·2·2·3·3·3 3 9 3

7. 2. Identify all pairs of like factors. √ 2·2·2·3·3·3 3. For each pair, one number gets out. The other goes to the state for bail. 6√ 6 4. Multiply back together inner & outer. 2·3 √ 2·3

8. Getting Out of Jail Example: -2 √ 225 1.Find the Prime Factorization of the prisoner. 225 5 45 3 5 9 √ 5·5·3·3

9. 2. Identify all pairs of like factors. √ 5·5·3·3 3. For each pair, one number gets out. The other goes to the state for bail. 15 4. Multiply back together inner & outer. 5·3 √

10. Prime Factorization