Simplifying Complex Numbers and Operations

Front

Simplify (-6 - 2i)²

Back

32 + 24i

Front

Which expression with a fractional exponent best represents √7?

Back

7½

Front

Simplify 3i - (4 + 7i)

Back

-4 - 4i

Front

Find the sum: (5-2i) + (-7+8i)

Back

-2 + 6i

Front

Definition of a complex number

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

How to add complex numbers?

Back

To add complex numbers, add the real parts and the imaginary parts separately.

Front

How to subtract complex numbers?

Back

To subtract complex numbers, subtract the real parts and the imaginary parts separately.

Front

What is the modulus of a complex number z = a + bi?

Back

The modulus is |z| = √(a² + b²).

Front

What is the conjugate of a complex number?

Back

The conjugate of a complex number a + bi is a - bi.