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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 565RE (page 856)

In the following exercises, add or subtract.
$\sqrt{- 50} + \sqrt{- 18}$

Short Answer

Expert verified

$8 i \sqrt{2}$

Step by step solution

01

Given information

$\sqrt{- 50} + \sqrt{- 18}$

02

Solution

$\sqrt{- 50} + \sqrt{- 18} = i \sqrt{50} + i \sqrt{18} = 5 i \sqrt{2} + 3 i \sqrt{2} = 8 i \sqrt{2}$

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Most popular questions from this chapter

Simplify:

$(a) \sqrt{\frac{a^{8}}{a^{6}}} (b) \sqrt[4]{\frac{x^{7}}{x^{3}}} (c) \sqrt[4]{\frac{y^{17}}{y^{5}}}$

Simplify:

a. ${(32 x^{\frac{1}{3}})}^{\frac{3}{5}}$ b. ${(x^{\frac{3}{4}} y^{\frac{1}{2}})}^{\frac{2}{3}}$

What is the difference between $9^{2}$ and $\sqrt{9}$ ?

Explain why $7 + \sqrt{9}$ is not equal to $\sqrt{7 + 9}$ .

Use the Quotient Property to simplify square roots.

(a) $\sqrt{\frac{45 r^{3}}{s^{10}}}$

(b) $\sqrt[3]{\frac{625 u^{10}}{v^{3}}}$

(c) $\sqrt[4]{\frac{729 c^{21}}{d^{8}}}$

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