The Square Root of 50
The square root of 50 is a number that, when multiplied by itself, equals 50. In other words, the square root of 50 is a number that, when squared, equals 50.
Simplified Form
The simplified form of the square root of 50 is 5√2. This is because 50 can be factored into 25 x 2, and the square root of 25 is 5.
Decimal Form
The decimal form of the square root of 50 is approximately 7.0710678118654752440084436210485. This is an irrational number, which means that it cannot be expressed as a fraction of two integers.
Questions and Answers
Q: What is the square root of 50?
A: The square root of 50 is 5√2 or approximately 7.0710678118654752440084436210485.
Q: How do you simplify the square root of 50?
A: To simplify the square root of 50, you can factor 50 into 25 x 2. The square root of 25 is 5, so the square root of 50 is 5√2.
Q: What is the decimal form of the square root of 50?
A: The decimal form of the square root of 50 is approximately 7.0710678118654752440084436210485. This is an irrational number, which means that it cannot be expressed as a fraction of two integers.
Q: Is the square root of 50 rational or irrational?
A: The square root of 50 is irrational. This is because the decimal form of the square root of 50 is non-terminating and non-repeating.
Q: What are some real-world applications of the square root of 50?
A: The square root of 50 can be used in a variety of real-world applications, such as:
- Calculating the area of a square with a side length of 5
- Calculating the volume of a rectangular prism with a width of 5 and height of √2
- Calculating the length of the hypotenuse of a right triangle with legs of length 5 and √2
Conclusion
The square root of 50 is a number that has a variety of real-world applications. It is important to understand the simplified and decimal forms of the square root of 50, as well as whether it is rational or irrational.
