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Chapter 8: Q.410 (page 844)

In the following exercises, write each expression in terms of i and simplify if possiblea)-121b)-1c)-20

Short Answer

Expert verified

The simplifies expression can be givena)11ib)ic)25i

Step by step solution

01

Part (a) Step 1: Given information

We are given an expression-121

02

Part (a) Step 2: Use the definition of the square root of negative number 

We get121i

03

Part (a) Step 3: Simplify

On simplifying we get11i

04

Part(b) Step 1: Given information

We are given an expression-1

05

Part(b) Step 2: Use the definition of square root of negative numbers

We get,i

06

Part(b) step 3: Simplify

On simplifying we geti

07

Part(c) Step 1: Given information

We are given an expression-20

08

Part(c) Step2: Use the definition of square root of negative numbers

We get,20i

09

Part(c) step 3: Simplify

On simplifying we get25i

10

Conclusion

The simplified expression can be given as

a)11ib)ic)25i

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