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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 413 (page 1069)

In the following exercises, add or subtract.
$\sqrt{- 75} + \sqrt{- 48}$

Short Answer

Expert verified

The simplifies expression is $9 \sqrt{3} i$

Step by step solution

Given information

We are given an expression $\sqrt{- 75} + \sqrt{- 48}$

Use the definition of the square root of negative numbers

We get $\sqrt{75} i + \sqrt{48} i$

Simplify the square root

$5 \sqrt{3} i + 4 \sqrt{3} i$

Add

$9 \sqrt{3} i$

Conclusion

The simplified expression is $9 \sqrt{3} i$

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Simplify:

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Simplify $\sqrt{48}$ .

In the following exercises, simplify.

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In the following exercises, write as a radical expression.

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In the following exercises, add or subtract.
$\sqrt{- 75} + \sqrt{- 48}$

Short Answer

Step by step solution

Given information

Use the definition of the square root of negative numbers

Simplify the square root

Add

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, add or subtract.-75+-48

Short Answer

Step by step solution

Given information

Use the definition of the square root of negative numbers

Simplify the square root

Add

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Applied Mathematics

Statistics

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, add or subtract.
$\sqrt{- 75} + \sqrt{- 48}$