Radical Operations Review

Front

What is a radical in mathematics?

Back

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Back

@@ ext{√}32 = ext{√}(16 imes 2) = ext{√}16 imes ext{√}2 = 4 ext{√}2$$.

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Back

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Back

@@ ext{√}45 = ext{√}(9 imes 5) = ext{√}9 imes ext{√}5 = 3 ext{√}5$$.

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Back

Front

What is the definition of a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

How do you determine if a radical can be simplified?

Back

Front

Back

@@ ext{√}8 = ext{√}(4 imes 2) = ext{√}4 imes ext{√}2 = 2 ext{√}2$$.

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@@ ext{√}16 = 4$$ because 4 is the integer that, when squared, gives 16.

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@@ ext{√}9 + ext{√}16 = 3 + 4 = 7$$.