Radicals and Radical Operations

1. You can combine radicals with different indices.

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2. Adding and subtracting radical expressions is very much similar to adding and subtracting similar terms of polynomials.

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3. In the process of multiplying radicals, there are only three cases to be considered: (a) To multiply radicals of the same order. (b) To multiply binomials involving radicals. (c) To multiply radicals of different orders.

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4. Rationalizing is necessary for the division of radicals.

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The product of the square root of two positive integers is equal to the square root of the product of these integers.

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The process of removing the radical from the numerator is called rationalizing the denominator.

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To multiply radical expressions with more than one term, use the associative property to remove parenthesis.

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We add or subtract the indices and retain the radicand when we combine similar radicals.

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