Erin - Radicals and Powers of i

Front

What is the value of i raised to the power of 10?

Back

-1

Front

Simplify the expression \(\sqrt{112}\).

Back

\(4\sqrt{7}\)

Front

Simplify the expression \(\sqrt{63}\).

Back

\(3\sqrt{7}\)

Front

What is the simplified form of \(\sqrt{216}\)?

Back

\(6\sqrt{6}\)

Front

Which of the following is NOT a perfect square: 100, 121, 111, 144?

Back

111

Front

What is the definition of a perfect square?

Back

A perfect square is an integer that is the square of another integer.

Front

What is the value of i raised to the power of 2?

Back

i^2 = -1

Front

What is the pattern for the powers of i?

Back

The powers of i cycle through: i, -1, -i, 1.

Front

How do you simplify a square root of a product, such as \(\sqrt{ab}\)?

Back

\(\sqrt{ab} = \sqrt{a} \cdot \sqrt{b}\) if a and b are non-negative.

Front

What is the simplified form of \(\sqrt{50}\)?

Back

\(5\sqrt{2}\)