Unit #2 Radicals.

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Presentation transcript:

Unit #2 Radicals

Properties of Radicals

Simplifying Radicals The radicand has no factor raised to a power greater than or equal to the index number The radicand has no fractions No denominator contains a radical Exponents in the radicand and the index of the radical have no common factor All indicated operations have been performed

Simplify each of the following radicals

Simplify each of the following radicals

Rewrite each of the following as a single expression under the radical sign

Rationalize the following denominators

Simplify each of the following radicals Simplify each of the following radicals. Assume that all variables represent nonnegative real numbers.

Simplify each of the following radicals Simplify each of the following radicals. Assume that all variables represent nonnegative real numbers.

Simplify each of the following radicals

Simplify each of the following radicals

Multiply by the conjugate with binomials in the denominator Rationalize the following denominators Multiply by the conjugate with binomials in the denominator

Simplify each of the following expressions with radicals or exponents

Simplify each of the following expressions with radicals or exponents and write in radical form

Simplify each of the following radicals