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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. 8.159 (page 837)

Multiply: $(5 鈭� 3 i) (鈭� 1 鈭� 2 i)$

Short Answer

Expert verified

The solution of the above equation is $- 11 - 7 i$

Step by step solution

01

Given information:

$- 11 - 7 i$

02

Use FOIL

$- 5 - 10 i + 3 i + 6 i^{2}$

03

Simplify i2 and other terms

$- 5 - 7 i - 6$

04

Simplify the real terms

$- 11 - 7 i$

05

Conclusion

The simplified value of the given equation is $- 11 - 7 i$

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Most popular questions from this chapter

In the following exercises, simplify.

(a) $25^{\frac{3}{2}}$

(b) $9^{\frac{- 3}{2}}$

(c) ${(- 64)}^{\frac{2}{3}}$

In the following exercises, use the Product Property to simplify radical expressions $\sqrt{675}$

Simplify:

$(a) \sqrt{\frac{75}{48}} (b) \sqrt[3]{\frac{54}{250}} (c) \sqrt[4]{\frac{32}{162}}$

Explain what is meant by the $n^{t h}$ root of a number.

In the following exercises, simplify using absolute value signs as needed. $\sqrt{m^{13}}, \sqrt[5]{u^{7}}, \sqrt[6]{v^{11}}$

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