Tutorial - Finding the absolute value of a complex number ex 2, (10 - 7i)

The video tutorial explains how to find the absolute value of a complex number. It begins by introducing the formula for the absolute value of a complex number A + BI, which is sqrt(a^2 + b^2). The instructor identifies the components A and B, with A being 10 and B being -7. The tutorial then demonstrates the calculation of the absolute value, resulting in sqrt(149). Finally, it checks if the result can be simplified, concluding that it cannot be further simplified.

What is the formula for finding the absolute value of a complex number?

• sqrt(a^2 + b^2)

• sqrt(a^2 - b^2)

• a^2 + b^2

• a^2 - b^2

If a complex number is given as 10 - 7i, what are the values of A and B?

• A = 10, B = -7

• A = -10, B = 7

• A = 7, B = 10

• A = -7, B = 10

What is the result of squaring the imaginary part, -7, of the complex number?

• -49

• 49

• 7

• -7

What is the absolute value of the complex number 10 - 7i?

• sqrt(200)

• sqrt(49)

• sqrt(100)

• sqrt(149)

Can the absolute value sqrt(149) be simplified further?

• Yes, it can be simplified to 10 + 7.

• Yes, it can be simplified to 12.

• Yes, it can be simplified to sqrt(100) + sqrt(49).

• No, it cannot be simplified further.