Algebra Tutorials! Thursday 25th of July

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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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We can multiply radicals provided they have the same index. To multiply the radicals, we multiply their radicands. The resulting radical has the common index.

 For example, letâ€™s find this product: We multiply the radicands. Finally, we simplify. = 2
If the expressions being multiplied contain factors that are not under a radical symbol, multiply those factors. Then multiply the radicands of radicals that have the same index.
 For example, letâ€™s find this product: Multiply 8w by 5y. Multiply 7y by 4x. Simplify.
In the following multiplication problem, we use the Distributive Property to remove the parentheses.
 Find this product: Distribute to each term inside the parentheses. Simplify.

Example 1

Multiply and simplify:

 Solution Distribute Multiply. Factor each radicand. Use perfect square factors when possible. Write each radical as a product of radicals. Place each perfect square under its own radical symbol. Simplify each radical. Thus,