What is the pattern of powers of i?

i, -1, -i, 1, and then it repeats.

Simplify Radicals and Powers of i Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the simplified form of -√-8?

Back

-2i√2

2.

FLASHCARD QUESTION

Front

Simplify $\frac{{\text{√96}}}{{\text{?}}}$

Back

4√6

3.

FLASHCARD QUESTION

Front

What is $i^{12}$ ?

Back

1

4.

FLASHCARD QUESTION

Front

Define a radical expression.

Back

An expression that includes a root, such as a square root or cube root.

5.

FLASHCARD QUESTION

Front

What is the principal square root of a number?

Back

The non-negative root of a number.

6.

FLASHCARD QUESTION

Front

How do you simplify $\text{√}(a^2)$ ?

Back

a, where a is non-negative.

7.

FLASHCARD QUESTION

Front

What is the value of $i^2$ ?

Back

-1

9.

FLASHCARD QUESTION

Front

How do you simplify $\text{√}(ab)$ ?

Back

$\text{√}(a) \times \text{√}(b)$ .

10.

FLASHCARD QUESTION

Front

What is the value of $i^4$ ?

Back

1

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