Simplifying Radicals With Negative Radicands and Powers of i

Front

What is the value of i?

Back

i = √(-1)

Front

How do you simplify √(-28)?

Back

√(-28) = 2i√7

Front

What is i raised to the power of 24?

Back

i^24 = 1

Front

How do you simplify √(-81)?

Back

√(-81) = 9i

Front

What is the simplified form of √75?

Back

√75 = 5√3

Front

What is the definition of a radical?

Back

A radical is a symbol that represents the root of a number.

Front

What is the principal square root of a negative number?

Back

The principal square root of a negative number involves the imaginary unit i.

Front

How do you express √(-x) in terms of i?

Back

√(-x) = i√x for x > 0.

Front

What is the pattern for powers of i?

Back

The powers of i cycle through: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.

Front

How do you simplify √(a * b)?

Back

√(a * b) = √a * √b, provided a and b are non-negative.