Simplify, Add, Subtract, Multiply and Divide Square Roots

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.

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

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

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

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

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

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

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