Chapter 8: Q. 9 (page 755)

ⓐ $- \sqrt{225}$ ⓑ $\sqrt{- 9}$

Short Answer

Expert verified

Part (a) $- \sqrt{225} = - 15$

Part (b) $\sqrt{- 9}$ is not real number.

Step by step solution

Part (a) Sep 1. Given information

(a) $- \sqrt{225}$

Simplify the given value.

Step 2. Explanaiton

Since $\begin{array}{l} \Rightarrow {(15)}^{2} = 225 \\ \Rightarrow - \sqrt{225} = \sqrt{{(15)}^{2}} \\ \Rightarrow - 15 \end{array}$

Part(b) Step 3. Given informaion

(b) $\sqrt{- 9}$

simplify the given value.

Step 4. Explanation

Since any positive number squared is positive.

Any negative number squared is positive.

There is no real number equal to $\sqrt{- 9}$ .

The square root of a negative number is not a real number.

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ⓐ $- \sqrt{225}$ ⓑ $\sqrt{- 9}$

Short Answer

Step by step solution

Part (a) Sep 1. Given information

Step 2. Explanaiton

Part(b) Step 3. Given informaion

Step 4. Explanation

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ⓐ -225 ⓑ −9

Short Answer

Step by step solution

Part (a) Sep 1. Given information

Step 2. Explanaiton

Part(b) Step 3. Given informaion

Step 4. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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Discrete Mathematics

Study anywhere. Anytime. Across all devices.

ⓐ $- \sqrt{225}$ ⓑ $\sqrt{- 9}$