1. Simplify, Add, Subtract, Multiply and Divide
Square Roots

2. Simplifying Square Roots
Square root is in simplest form when…..
The radicand of a square root does not have a perfect-square factor greater than 1.
The radicand of a square root is not a fraction.
The square root is not the denominator of a fraction.

3. Simplifying Square Roots
The radicand of a square root does not have a perfect-square factor greater than 1.

4. Simplifying Square Roots
The radicand of a square root is not a fraction.

5. Simplifying Square Roots
The square root is not the denominator of a fraction.

6. Adding and Subtracting with Square Roots
Simplify
The sums and differences of square roots with similar radicands can be simplified based on the distributive property. addition

7. Subtracting with Square Roots
The sums and differences of square roots with similar radicands can be simplified based on the distributive property. subtraction

8. Multiplying with Square Roots
Product Property of Square Roots: For all positive real numbers a and b,

9. Dividing with Square Roots
Quotient Property of Square Roots: For all positive real numbers a and b,