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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 584 (page 857)

Simplify. Assume all variables are positive.
$\sqrt{- 45}$

Short Answer

Expert verified

The Solution is $3 i \sqrt{5}$

Step by step solution

01

The Given Information

An expression is $\sqrt{- 45}$

02

Simplifying

$= \sqrt{- 45} = \sqrt{- i} . \sqrt{45} = i . \sqrt{9.5} = i . 3 \sqrt{5} = 3 i \sqrt{5}$

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Most popular questions from this chapter

In the following exercises, solve.

$\sqrt[3]{2 x} = - 2$

In the following exercises, use the Product Property to simplify radical expression $\sqrt{27}$ .

Why is there no real number equal to $\sqrt{- 64}$ ?

In the following exercises, write with a rational exponent.

$(a) \sqrt[3]{a} (b) (\sqrt[4]{21 v})^{3} (c) \sqrt[4]{{(\frac{2 x y}{5 z})}^{2}}$

In the following exercises, simplify.

(a) $100^{\frac{3}{2}}$

(b) $49^{- \frac{5}{2}}$

(c) ${(- 100)}^{\frac{3}{2}}$

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