Chapter 11: Q.409 (page 1069)

In the following exercises, write each expression in terms of i and simplify if possible. $a) \sqrt{- 16} b) \sqrt{- 11} c) \sqrt{- 8}$

Short Answer

Expert verified

The simplified expression are

a) 4 i b) \sqrt{11} i c) 2 \sqrt{2} i

Step by step solution

Part (a) Step 1: Given information

We are given an expression $\sqrt{- 16}$

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

We get, $\sqrt{16} i$

Part (a) Step 3: Simplify

On simplifying we get, $4 i$

Part (b) Step 1: Given information

We are given an expression $\sqrt{- 11}$

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

We get, $\sqrt{11} i$

Part (b) Step 3: Simplify

On simplifying we get $\sqrt{11} i$

Part (c) Step 1: Given information

We are given an expression $\sqrt{- 8}$

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

We get, $\sqrt{8} i$

Part (c) Step 3: Simplify

On simplifying we get, $2 \sqrt{2} i$

Conclusion

The simplifies expression can be given as

$a) 4 i b) \sqrt{11} i c) 2 \sqrt{2} i$

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In the following exercises, write each expression in terms of i and simplify if possible. $a) \sqrt{- 16} b) \sqrt{- 11} c) \sqrt{- 8}$

Short Answer

Step by step solution

Part (a) Step 1: Given information

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

Part (a) Step 3: Simplify

Part (b) Step 1: Given information

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

Part (b) Step 3: Simplify

Part (c) Step 1: Given information

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

Part (c) Step 3: Simplify

Conclusion

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In the following exercises, write each expression in terms of i and simplify if possible.a)-16b)-11c)-8

Short Answer

Step by step solution

Part (a) Step 1: Given information

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

Part (a) Step 3: Simplify

Part (b) Step 1: Given information

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

Part (b) Step 3: Simplify

Part (c) Step 1: Given information

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

Part (c) Step 3: Simplify

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, write each expression in terms of i and simplify if possible. $a) \sqrt{- 16} b) \sqrt{- 11} c) \sqrt{- 8}$