Tutorial - Finding the absolute value of a complex number ex 6, (7 + 7i)

The video tutorial explains how to find the absolute value of a complex number when both components are equal. It starts by setting A and B to 7, then demonstrates the calculation of the absolute value using the square root of the sum of squares. The process involves simplifying the expression by recognizing square numbers and rewriting them in a simpler form. The final result is presented as 7 times the square root of 2.

What is the initial step in finding the absolute value of a complex number when both parts are equal?

• Add the real and imaginary parts

• Square the real and imaginary parts

• Multiply the real and imaginary parts

• Subtract the imaginary part from the real part

What is the result of adding 7 squared and 7 squared?

• 0

• 98

• 49

• 14

How can the expression 49 + 49 be rewritten for simplification?

• As 14 times sqrt 2

• As 7 times sqrt 2

• As 49 times sqrt 2

• As 98 times sqrt 2

What is the simplified form of sqrt 49?

• 7

• 14

• 49

• 98

What is the final absolute value of the complex number 7 + 7i?

• 14 times sqrt 2

• 7

• 7 times sqrt 2

• 14