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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 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

01

Given information

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

02

Use the definition of the square root of negative numbers

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

03

Simplify the square root

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

04

Add

$9 \sqrt{3} i$

05

Conclusion

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

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Most popular questions from this chapter

In the following exercises, divide the rational expressions.

$\frac{p^{3} + q^{3}}{3 p^{2} + 3 p q + 3 q^{2}} 梅 \frac{p^{2} - q^{2}}{12}$

Divide: $\frac{1 + 6 i}{6 - i}$

In the following exercises, factor each expression using any method $4 a^{2} + 5 a + 2$

In the following exercises, evaluate the function:

$a . g (h^{2}) b . g (x + 2) c . g (x) + g (2)$

Function: $g (x) = 7 - 5 x$

Simplify a Complex Rational Expression by Using the LCD.

In the following exercises, simplify each complex rational expression by using the LCD. $\frac{\frac{3}{s + 6} + \frac{5}{s - 6}}{\frac{1}{s^{2} - 36} + \frac{4}{s + 6}}$

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