Chapter 8: Q. 564RE (page 855)

In the following exercises, write each expression in terms of $i$ and simplify if possible.
(a) $\sqrt{- 100}$
(b) $\sqrt{- 13}$
(c) $\sqrt{- 45}$

Short Answer

Expert verified

Expression in terms of $i$

(a) $10 i$

(b) $i \sqrt{13}$

Step by step solution

part (a) Step 1 Given information

Expression in terms of $i$ for $\sqrt{- 100}$

part (a) Step 2 Solution

We have

$\sqrt{- 100} = \sqrt{- 1 \times 100} = \sqrt{i^{2} \times 10^{2}} = 10 i$

part (b) Step 1 Given information

Expression in terms of $i$ for $\sqrt{- 13}$

part (b) Step 2 Solution

We have

$\sqrt{- 13} = \sqrt{- 1 \times 13} = \sqrt{i^{2} \times 13} = i \sqrt{13}$

part (c) Step 1 Given information

Expression in terms of $i$ for $\sqrt{- 45}$

part (c) Step 2 Solution

We have

$\sqrt{- 45} = \sqrt{- 1 \times 9 \times 5} = \sqrt{i^{2} \times 3^{2} \times 5} = 3 i \sqrt{5}$

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In the following exercises, write each expression in terms of $i$ and simplify if possible.
(a) $\sqrt{- 100}$
(b) $\sqrt{- 13}$
(c) $\sqrt{- 45}$

Short Answer

Step by step solution

part (a) Step 1 Given information

part (a) Step 2 Solution

part (b) Step 1 Given information

part (b) Step 2 Solution

part (c) Step 1 Given information

part (c) Step 2 Solution

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In the following exercises, write each expression in terms of iand simplify if possible.(a)-100(b)-13(c)-45

Short Answer

Step by step solution

part (a) Step 1 Given information

part (a) Step 2 Solution

part (b) Step 1 Given information

part (b) Step 2 Solution

part (c) Step 1 Given information

part (c) Step 2 Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Statistics

Discrete Mathematics

Decision Maths

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, write each expression in terms of $i$ and simplify if possible.
(a) $\sqrt{- 100}$
(b) $\sqrt{- 13}$
(c) $\sqrt{- 45}$