Chapter 1: Q34. (page 10)

Estimate each square root to the nearest whole number.
$\sqrt{112}$

Short Answer

Expert verified

The square root to the nearest whole number is 11.

Step by step solution

Step 1. List some perfect squares.

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169….

Step 2. Locate interval.

112 lies between 100 and 121.

Step 3. Find the nearest perfect square.

Distance of 112 from 100 = 112 – 100 = 12

Distance of 112 from 121 = 121 – 112 = 9

Since 9 < 12. So, 121 is closer to 112.

Step 4. Find the square root of the nearest perfect square

We know $121 = 11^{2}$ . So, $\sqrt{121} = 11$ .

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Estimate each square root to the nearest whole number.
$\sqrt{112}$

Short Answer

Step by step solution

Step 1. List some perfect squares.

Step 2. Locate interval.

Step 3. Find the nearest perfect square.

Step 4. Find the square root of the nearest perfect square

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Estimate each square root to the nearest whole number.112

Short Answer

Step by step solution

Step 1. List some perfect squares.

Step 2. Locate interval.

Step 3. Find the nearest perfect square.

Step 4. Find the square root of the nearest perfect square

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Geometry

Decision Maths

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Estimate each square root to the nearest whole number.
$\sqrt{112}$