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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. 416 (page 844)

In the following exercises, add or subtract $\sqrt{- 72} + \sqrt{- 8}$

Short Answer

Expert verified

The simplified expression is $8 \sqrt{2} i$

Step by step solution

01

Given information

We are given an expression $\sqrt{- 72} + \sqrt{- 8}$

02

use the definition of the square root of negative numbers

We get, $\sqrt{72} i + \sqrt{8} i$

03

Simplify the square root

$6 \sqrt{2} i + 2 \sqrt{2} i$

04

Add

We get $8 \sqrt{2} i$

05

Conclusion

The simplified expression is $8 \sqrt{2} i$

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Most popular questions from this chapter

Use the Quotient Property to simplify square roots.

(a) $\frac{\sqrt{72 n^{11}}}{\sqrt{2 n}}$

(b) $\sqrt[3]{\frac{162}{6}}$

(c) $\sqrt[4]{\frac{160 r^{10}}{5 r^{3}}}$

Explain the difference of finding the $n^{t h}$ root of a number when the index is even compared to when the index is odd.

In the following exercises, solve.

$\sqrt{2 m - 3} - 5 = 0$

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(b) $\sqrt[3]{\frac{54 a^{8}}{b^{3}}}$

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