Question

What is the absolute value of 2-9i

Answer 1

so we get as,

let, y = 2 - 9i

so the absolute value is |y|

so we get as,

|y| = 2-9i

so the absolute value is |y|

|y|=√ 2 to the 2nd power plus 9 to the second power

so we get as,

|y|=

√81+4=√85

so the value is √85

Example:

| − 2 − i | = √ 5

Explanation:

Absolute value of a complex number a + i b is written as | a + i b | and its value as √a 2 + b 2 .

Hence, absolute value of − 2 − i is √ ( − 2 ) 2 + ( − 1 ) 2 = √ 4 + 1 = √ 5 .

Explanation: