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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 8.153 (page 836)

Add $\sqrt{- 8} + \sqrt{- 32}$ .

Short Answer

Expert verified

$6 \sqrt{2} i$

Step by step solution

Step 1. Given information.

The following expression is given:

$\sqrt{- 8} + \sqrt{- 32}$

Step 2. Performing the addition.

Using the definition of the square root of negative numbers

$\sqrt{- 8} + \sqrt{- 32} = \sqrt{8} i + \sqrt{32} i$

Simplifying

$\sqrt{- 8} + \sqrt{- 32} = \sqrt{2^{2} 脳 2} i + \sqrt{4^{2} 脳 2} i \sqrt{- 8} + \sqrt{- 32} = 2 \sqrt{2} i + 4 \sqrt{2} i \sqrt{- 8} + \sqrt{- 32} = 6 \sqrt{2} i$

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Add-8+-32.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Performing the addition.

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Add $\sqrt{- 8} + \sqrt{- 32}$ .