Simplifying the Square Root of 0.16
The square root of 0.16 is a mathematical expression that can be simplified to a more manageable and elegant form. In this article, we will explore how to simplify the square root of 0.16 and understand the concept behind it.
What is the Square Root of 0.16?
The square root of 0.16 is denoted by the symbol √0.16. It is the value that, when multiplied by itself, gives 0.16. In other words, it is the number that, when raised to the power of 1/2, equals 0.16.
Simplifying the Square Root of 0.16
To simplify the square root of 0.16, we can start by rewriting 0.16 as a fraction:
0.16 = 16/100 = 4/25
Now, we can take the square root of both sides of the equation:
√0.16 = √(4/25)
Using the property of square roots that states √(a/b) = √a / √b, we can rewrite the expression as:
√0.16 = √4 / √25
Simplifying further, we get:
√0.16 = 2/5
Therefore, the simplified form of the square root of 0.16 is 2/5.
Conclusion
In conclusion, the square root of 0.16 can be simplified to 2/5 by rewriting the decimal as a fraction and applying the properties of square roots. This simplified form makes it easier to work with the expression in mathematical calculations and applications.
