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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 441. (page 844)

In the following exercise, multiply.
$\sqrt{- 25} \sqrt{- 36}$

Short Answer

Expert verified

The value of $\sqrt{- 25} \sqrt{- 36}$ is equal to $- 30$ .

Step by step solution

01

Step 1. Given information.

An expression is $\sqrt{- 25} \sqrt{- 36}$ .

02

Step 2. Multiply the complex numbers.

Apply the concept of the root of the negative and simplify the value.

\sqrt{- 25} \sqrt{- 36} = \sqrt{25} i \sqrt{36} i = (5 i) (6 i) = 30 i^{2} = - 30

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Most popular questions from this chapter

Use the Quotient Property to simplify square roots.

(a) $\sqrt{\frac{32 x^{5} y^{3}}{18 x^{3} y}}$

(b) $\sqrt[3]{\frac{5 x^{6} y^{9}}{40 x^{5} y^{3}}}$

(c) $\sqrt[4]{\frac{5 a^{8} b^{6}}{80 a^{3} b^{2}}}$

Simplify:

a. $\frac{m^{\frac{2}{3}} 路 m^{\frac{- 1}{3}}}{m^{\frac{- 5}{3}}}$ b. ${(\frac{25 m^{\frac{1}{6}} n^{\frac{11}{6}}}{m^{\frac{2}{3}} n^{\frac{- 1}{6}}})}^{\frac{1}{2}}$

In the following exercises, simplify.

(a) $32^{\frac{2}{5}}$

(b) role="math" localid="1644741549807" $27^{- \frac{2}{3}}$

(c) ${(- 25)}^{\frac{1}{2}}$

In the following exercises, simplify.

(a) $64^{\frac{5}{2}}$

(b) $81^{\frac{- 3}{2}}$

(c) ${(- 27)}^{\frac{2}{3}}$

Simplify:

a. ${(81 n^{\frac{2}{5}})}^{\frac{3}{2}}$ b. ${(a^{\frac{3}{2}} b^{\frac{1}{2}})}^{\frac{4}{3}}$

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