Simplified Square Root Of 112

Square Root of 112 How to Find the Square Root of 112? En from en.asriportal.com

Introduction

As a teacher, simplifying square roots can be a daunting task for students. One of the most common questions that students ask is how to simplify the square root of 112. In this article, we will explain what square roots are, how to simplify them, and provide a step-by-step solution to simplify the square root of 112.

What is a Square Root?

A square root is a number that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 multiplied by 3 equals 9. Square roots are represented by a radical symbol (√) with the number inside it. The number inside the radical symbol is called the radicand.

Simplifying Square Roots

To simplify a square root, we need to find the largest perfect square that is a factor of the radicand. We can then take the square root of the perfect square and leave any remaining factors inside the radical symbol. For example, the square root of 48 can be simplified as follows: √48 = √(16 x 3) = √16 x √3 = 4√3 In this example, 16 is the largest perfect square factor of 48, and the remaining factor of 3 is left inside the radical symbol.

Step-by-Step Solution to Simplify the Square Root of 112

Now that we understand how to simplify square roots, let's apply it to the square root of 112. Here are the steps to simplify the square root of 112: Step 1: Find the largest perfect square factor of 112. The largest perfect square factor of 112 is 16. Step 2: Take the square root of 16. The square root of 16 is 4. Step 3: Divide the radicand (112) by the perfect square factor (16) to get the remaining factor. 112 divided by 16 is 7. Step 4: Write the simplified square root as the product of the perfect square root and the remaining factor inside the radical symbol. The simplified square root of 112 is 4√7.

Conclusion

In conclusion, simplifying square roots can be a challenging task for students. However, by following the steps outlined in this article, students can simplify the square root of 112 and other square roots with ease. As a teacher, it is important to provide students with clear explanations and step-by-step solutions to help them understand and master concepts such as simplifying square roots.