Simplifying The Square Root Of 169

Square Root of 169 Cuemath from www.cuemath.com

Introduction

As a professional teacher, one of the most common mathematical problems that students encounter is simplifying square roots. In this article, we will focus on simplifying the square root of 169.

The Basics of Square Roots

A square root is a value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5 because 5 times 5 equals 25. The square root symbol looks like a checkmark or a radical sign.

What is the Square Root of 169?

The square root of 169 is 13. This is because 13 times 13 equals 169.

Why Simplify Square Roots?

Sometimes, square roots can be simplified to make them easier to work with in mathematical equations. Simplifying a square root means finding the largest factor that is a perfect square and taking it out of the radical.

Steps in Simplifying the Square Root of 169

To simplify the square root of 169, we need to find the largest perfect square that is a factor of 169. In this case, 169 is a perfect square itself, so we can take the square root of 169 and simplify it to 13.

Another Example

Let's try another example. What is the square root of 48? To simplify this, we need to find the largest perfect square that is a factor of 48. The largest perfect square that is a factor of 48 is 16. We can write 48 as 16 times 3. Therefore, the square root of 48 can be simplified to the square root of 16 times 3. The square root of 16 is 4, so the final answer is 4 times the square root of 3.

Practice Problems

Here are some practice problems for simplifying square roots: 1. Simplify the square root of 225. 2. Simplify the square root of 80. 3. Simplify the square root of 121.

Conclusion

Simplifying square roots is an important skill in mathematics. By finding the largest perfect square that is a factor of the number under the radical, we can make square roots easier to work with in mathematical equations. Remember that the square root of 169 is 13, and practice simplifying other square roots to improve your skills.