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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 442. (page 844)

In the following exercise, multiply.
$\sqrt{- 4} \sqrt{- 16}$

Short Answer

Expert verified

Value of $\sqrt{- 4} \sqrt{- 16}$ is equal to $- 8$ .

Step by step solution

01

Step 1. Given information

An expression is $\sqrt{- 4} \sqrt{- 16}$ .

02

Step 2. Multiply the complex numbers.

Use complex number as, $\sqrt{- b} = \sqrt{b} i$ . $\sqrt{- 1} = i$

So,

$\sqrt{- 4} \sqrt{- 16} = 2 i (4 i) = 8 i^{2} = - 8$

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Most popular questions from this chapter

In the following exercises, use the Product Property to simplify radical expression $\sqrt{125} .$

Use the Quotient Property to simplify square roots.

(a) $\sqrt{\frac{75 r^{6} s^{8}}{48 r s^{4}}}$

(b) $\sqrt[3]{\frac{24 x^{8} y 4}{81 x^{2} y}}$

(c) $\sqrt[4]{\frac{32 m^{9} n^{2}}{162 m n^{2}}}$

In the following exercises, solve.

$\sqrt{4 x - 3} = 7$

In the following exercises, solve.
$\sqrt{r - 1} = r - 1$

In the following exercises, simplify.

(a) $- 9^{\frac{3}{2}}$

(b) $- 9^{- \frac{3}{2}}$

(c) ${(- 9)}^{\frac{3}{2}}$

See all solutions

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