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**Simplify, Add, Subtract, Multiply and Divide**

Square Roots

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**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.

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**Simplifying Square Roots**

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

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**Simplifying Square Roots**

The radicand of a square root is not a fraction.

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**Simplifying Square Roots**

The square root is not the denominator of a fraction.

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**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

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**Subtracting with Square Roots**

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

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**Multiplying with Square Roots**

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

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**Dividing with Square Roots**

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

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