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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. 571 (page 856)

Multiply Complex Numbers
$\sqrt{- 4} . \sqrt{- 16}$

Short Answer

Expert verified

The Solution is $- 8$

Step by step solution

01

Given Information

$\sqrt{- 4} . \sqrt{- 16}$ The Given Equation is

02

Simplify the terms to complex numbers

$\sqrt{- 4} & \sqrt{- 16}$

Simplifying $\sqrt{- 4}$

$i . \sqrt{4}$

$2 i$

Simplifying $\sqrt{- 16}$

$i . \sqrt{16}$

$4 i$

03

Multiplying The terms

$= (2 i) (4 i) = 8 i^{2} = - 8$

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