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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 566RE (page 856)

In the following exercises, add or subtract.
$(8 - i) + (6 + 3 i)$

Short Answer

Expert verified

$14 + 2 i$

Step by step solution

01

Given information

$(8 - i) + (6 + 3 i)$

02

Solution

$\begin{array}{rcl} (8 - i) + (6 + 3 i) & = & 8 + 6 + i (- 1 + 3) \\ = & 14 + 2 i \end{array}$

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Most popular questions from this chapter

In the following exercises, simplify using absolute value signs as needed. $\sqrt{96 r^{3} s^{3}}, \sqrt[3]{80 x^{7} y^{6}}, \sqrt[4]{80 x^{8} y^{9}}$

Use the Quotient Property to simplify square roots.

(a) $\frac{\sqrt{45 p^{9}}}{\sqrt{5 q^{2}}}$

(b) $\frac{\sqrt[4]{64}}{\sqrt[4]{2}}$

(c) $\frac{\sqrt[5]{128 x^{8}}}{\sqrt[5]{2 x^{2}}}$

Simplify:

a. $\frac{u^{\frac{4}{5}} \cdot u^{\frac{- 2}{5}}}{u^{\frac{- 13}{5}}}$ b. ${(\frac{27 x^{\frac{4}{5}} y^{\frac{1}{6}}}{x^{\frac{1}{5}} y^{\frac{- 5}{6}}})}^{\frac{1}{3}}$

Simplify: $\sqrt{\frac{24 p^{3}}{49}} .$

Simplify:

a. ${(81 n^{\frac{2}{5}})}^{\frac{3}{2}}$ b. ${(a^{\frac{3}{2}} b^{\frac{1}{2}})}^{\frac{4}{3}}$

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