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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. 8.154 (page 836)

Add:
$\sqrt{- 27} + \sqrt{- 48}$

Short Answer

Expert verified

$7 \sqrt{3} i$

Step by step solution

Step 1. Given information.

The following expression is given:

$\sqrt{- 27} + \sqrt{- 48}$

Step 2. Performing the addition operation.

$\sqrt{- 27} + \sqrt{- 48}$

Using the definition of the square root of negative numbers

$\sqrt{- 27} + \sqrt{- 48} = \sqrt{27} i + \sqrt{48} i$

Simplifying

$\sqrt{- 27} + \sqrt{- 48} = \sqrt{3^{2} 脳 3} i + \sqrt{4^{2} 脳 3} i \sqrt{- 27} + \sqrt{- 48} = 3 \sqrt{3} i + 4 \sqrt{3} i \sqrt{- 27} + \sqrt{- 48} = 7 \sqrt{3} i$

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Most popular questions from this chapter

In the following exercises, solve.

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Add:-27+-48

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Performing the addition operation.

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Add:
$\sqrt{- 27} + \sqrt{- 48}$