Imaginary Numbers

Front

What is an imaginary number?

Back

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

Front

What is the value of i?

Back

i = √-1.

Front

What is the result of √-25?

Back

5i.

Front

What is the result of √-81?

Back

9i.

Front

What is the result of -√-48?

Back

-4i√3.

Front

What is the result of √-23?

Back

i√23.

Front

What is the result of √-1?

Back

i.

Front

How do you simplify √(-a^2)?

Back

√(-a^2) = a*i.

Front

What is the relationship between real numbers and imaginary numbers?

Back

Real numbers are on the number line, while imaginary numbers are on a perpendicular axis, forming the complex plane.

Front

What is a complex number?

Back

A complex number is a number that has a real part and an imaginary part, expressed as a + bi.