The radicand is the number or expression inside a radical symbol. For example, in @@ ext{ } oot{2}{x} $$, $$ x@@ is the radicand.

What is the imaginary unit $$i$$ ?

The imaginary unit $$i$$ is defined as @@i = ext{ } oot{-1}@@.

How do you simplify @@ ext{ } oot{-x^2 + 36}@@?

To simplify @@ ext{ } oot{-x^2 + 36} $$, factor it as $$ ext{ } oot{36 - x^2} = ext{ } oot{(6-x)(6+x)}@@.

Simplifying Radicals with Negative Radicands

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Mathematics

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10th - 11th Grade

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FLASHCARD QUESTION

Front

Define a radical expression.

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A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, @@ ext{radical expression} = ext{ } oot{n}{x}@@.

FLASHCARD QUESTION

Front

What is a radicand?

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FLASHCARD QUESTION

Front

How do you simplify @@ ext{ } oot{96}@@?

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FLASHCARD QUESTION

Front

What is the result of @@ ext{ } oot{-36}@@?

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FLASHCARD QUESTION

Front

How do you express @@ ext{ } oot{-x^2}@@?

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FLASHCARD QUESTION

Front

What is the simplified form of @@2 ext{ } oot{-32}@@?

Back

@@2 ext{ } oot{-32} = 8i ext{ } oot{2}@@.

FLASHCARD QUESTION

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FLASHCARD QUESTION

Front

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