Square Root Of 68 Simplified: Explanation And Solution

Square Root of 68 How to Find the Square Root of 68? Cuemath from www.cuemath.com

Introduction

As a student, you may have come across the term 'square root' in your math class. The square root is a mathematical operation that gives the value of a number that, when multiplied by itself, gives the number you are trying to find. In simpler terms, it is the opposite of the square. In this article, we will discuss how to simplify the square root of 68.

What is the Square Root of 68?

The square root of 68 is an irrational number, which means it cannot be expressed as a fraction or a terminating decimal. It can only be expressed as a decimal that goes on forever without repeating. The exact value of the square root of 68 is approximately 8.246211.

How to Simplify the Square Root of 68

To simplify the square root of 68, we need to find the largest perfect square that is a factor of 68. In this case, the largest perfect square that is a factor of 68 is 4. We can express 68 as 4 multiplied by 17. Therefore, we can write the square root of 68 as the square root of 4 multiplied by the square root of 17.

√68 = √4 x √17

What is the Square Root of 4?

The square root of 4 is a perfect square, and it is equal to 2. Therefore, we can replace the square root of 4 with 2 in the expression we got in the previous step.

√68 = 2 x √17

Final Answer

The simplified form of the square root of 68 is 2 multiplied by the square root of 17. This is the final answer.

√68 = 2√17

Conclusion

In conclusion, simplifying the square root of 68 involves finding the largest perfect square that is a factor of 68, which is 4. We can then express 68 as 4 multiplied by 17 and simplify the expression by replacing the square root of 4 with 2. The final answer is 2 multiplied by the square root of 17. Remember, practice makes perfect, and with time and practice, you will be able to simplify the square root of any number easily.