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Published byAudrey Kennedy Modified over 8 years ago

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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.

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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

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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

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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

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Examples: 6.1 – Rational Exponents

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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

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Examples: 6.1 – Rational Exponents or

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6.1 – Rational Exponents More Examples:

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6.1 – Rational Exponents Examples: or

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

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

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