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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. 478 (page 845)

Aniket multiplied as follows and he got the wrong answer. What is wrong with his reasoning?
$\sqrt{- 7} 路 \sqrt{- 7} \sqrt{49} 7$

Short Answer

Expert verified

In the given solution, the definition of $i$ is not considered at all.

Step by step solution

01

Step 1. Given Information

The given solution is $\sqrt{- 7} 路 \sqrt{- 7} \sqrt{49} 7$

02

Step 2. Explanation and Calculation

We will again simplify the given expression

$\sqrt{- 7} 路 \sqrt{- 7} = \sqrt{7 i} 路 \sqrt{7 i} = 7 i^{2} = 7 (- 1) = - 7$

Thus, the coorect calculation is shown above as in the given solution, Aniket has not considered the definition of $i$ at all.

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