# 6.1 – Rational Exponents Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical.

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6.1 – Rational Exponents Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical or the radical sign index radical sign radicand The expression under the radical sign is the radicand. The index defines the root to be taken.

Square Roots If a is a positive number, then is the positive square root of a and is the negative square root of a. A square root of any positive number has two roots – one is positive and the other is negative. Examples: non-real # 6.1 – Rational Exponents

Cube Roots A cube root of any positive number is positive. Examples: A cube root of any negative number is negative. 6.1 – Rational Exponents

n th Roots An n th root of any number a is a number whose n th power is a. Examples: 6.1 – Rational Exponents

Examples: 6.1 – Rational Exponents

The value of the numerator represents the power of the radicand. Examples: The value of the denominator represents the index or root of the expression. 6.1 – Rational Exponents or

Examples: 6.1 – Rational Exponents or

6.1 – Rational Exponents More Examples:

6.1 – Rational Exponents Examples: or

6.1 – Rational Exponents Use the properties of exponents to simplify each expression

6.1 – Rational Exponents Use the properties of exponents to simplify each expression

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