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Chapter 6: Q66. (page 293)

Simplify

7+2i1-i

Short Answer

Expert verified

The simplified value of expression is 7+2i1-i=9-5i.

Step by step solution

01

Step 1. Given Information.

Given to simplify the expression 7+2i1-i

02

Step 2. Explanation.

From the properties of complex numbers, i2=-1

Using the above property,

7+2i1鈭�i=7鈭�7i+2i鈭�2i27+2i1鈭�i=7鈭�7i+2i鈭�2鈭�17+2i1鈭�i=7鈭�7i+2i+27+2i1鈭�i=7+2鈭�7i+2i7+2i1鈭�i=9鈭�5i

03

Step 3. Conclusion.

Therefore, The simplified value of expression is 7+2i1-i=9-5i.

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