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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

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, simplify using absolute value signs as needed. $\sqrt{242 m^{23}}, \sqrt[4]{405 m^{10}}, \sqrt[5]{160 n^{8}}$

For the function $f (x) = 25 x^{2} - 81$ , find:
(a) the zeros of the function.

(b) the x-intercepts of the graph

of the function.
(c) the y-intercept of the graph of the

function.

Simplify the rational expression $\frac{x^{2} + 4 x - 5}{x^{2} - 2 x + 1}$

In the following exercises, solve:

$6 m (12 m - 5) = 0$

Multiply: $(a) (6 x + 5) (6 x - 5) (b) (4 p - 7 q) (4 p + 7 q)$

See all solutions

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