Chapter 8: Q. 8 (page 755)

In the following exercises, simplify
ⓐ $- \sqrt{400}$ ⓑ $\sqrt{- 36}$

Short Answer

Expert verified

Part (a) $- \sqrt{400} = 20$

Part (b) $\sqrt{- 36}$ is not a real number.

Step by step solution

Part (a) Step 1.Given information

(a) $- \sqrt{200}$

Simplify the given value.

Step 2. Explanation

Since $\begin{array}{l} \Rightarrow {(20)}^{2} = 400 \\ \Rightarrow - \sqrt{400} = \sqrt{{(20)}^{2}} \\ = - 20 \end{array}$

Part (b) Step 3. Given inforamtion

(b) $\sqrt{- 36}$

Simplify the given value.

Step 4. Explanation

Since.

Since. Any positive number squared is positive.

Any negative number squared is positive.

There is no real number equal to $\sqrt{- 36}$

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

Hence $\sqrt{- 36}$ not a real number.

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In the following exercises, simplify
ⓐ $- \sqrt{400}$ ⓑ $\sqrt{- 36}$

Short Answer

Step by step solution

Part (a) Step 1.Given information

Step 2. Explanation

Part (b) Step 3. Given inforamtion

Step 4. Explanation

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In the following exercises, simplifyⓐ -400ⓑ -36

Short Answer

Step by step solution

Part (a) Step 1.Given information

Step 2. Explanation

Part (b) Step 3. Given inforamtion

Step 4. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

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Mechanics Maths

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Study anywhere. Anytime. Across all devices.

In the following exercises, simplify
ⓐ $- \sqrt{400}$ ⓑ $\sqrt{- 36}$