Chapter 1: Q. 1.82 (page 65)

Simplify: ⓐ $\sqrt{16}$ ⓑ $\sqrt{196}$ ⓒ $- \sqrt{100}$ .

Short Answer

Expert verified

On simplifying the we get the result as

ⓐ 4

ⓑ 14

Step by step solution

Step 1. Given information

The given numbers are

$\begin{array}{l} a) \sqrt{16} \\ b) \sqrt{196} \\ c) - \sqrt{100} \end{array}$

We have to simplify the terms.

Step 2. calculate the square root for part (a)

$\begin{array}{l} Wehave \sqrt{16} \\ {Since4}^{2} = 16 \\ Thus, \\ \Rightarrow \sqrt{16} = 4 \end{array}$

Step 3. calculate the square root for part (b)

$\begin{array}{l} Wehave \sqrt{196} \\ {Since14}^{2} = 196 \\ Thus, \\ \Rightarrow \sqrt{196} = 14 \end{array}$

Step 3. calculate the square root for part (b)

$\begin{array}{l} Wehave - \sqrt{100} \\ {Since10}^{2} = 100 \\ Thenegativeisinfrontoftheradicalsign. \\ Thus, \\ \Rightarrow - \sqrt{100} = - 10 \end{array}$

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Simplify: ⓐ $\sqrt{16}$ ⓑ $\sqrt{196}$ ⓒ $- \sqrt{100}$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. calculate the square root for part (a)

Step 3. calculate the square root for part (b)

Step 3. calculate the square root for part (b)

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Simplify: ⓐ 16 ⓑ 196 ⓒ -100.

Short Answer

Step by step solution

Step 1. Given information

Step 2. calculate the square root for part (a)

Step 3. calculate the square root for part (b)

Step 3. calculate the square root for part (b)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Applied Mathematics

Discrete Mathematics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Simplify: ⓐ $\sqrt{16}$ ⓑ $\sqrt{196}$ ⓒ $- \sqrt{100}$ .