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

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.

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

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

Getting Out of Jail Example: √ Find the Prime Factorization of the prisoner √ 2·2·2·3·3·

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

Getting Out of Jail Example: -2 √ Find the Prime Factorization of the prisoner √ 5·5·3·3

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 Multiply back together inner & outer. 5·3 √

Prime Factorization