This is a discussion on Connections Academy Algebra Readiness; Lesson 10 Unit 3.
Student A believes the square root of 2 over 8 is a rational number because it can be written as a fraction.
Student B believes that the square root of 2 over 8 is an irrational number because, the square root of 2 is irrational.
My answer: Student A is correct because the square root of 2 is 4, 4 is a rational number. 4/8 is a rational number because it can be written as a non-repeating decimal. Student B is incorrect because the square root of 2 is not an irrational number.
pls tell me if this is correct because everyone else on the discussion is saying Student B is correct and Student A is incorrect. Thx <3
do you mean (√2)/8 or √(2/8) ?
One is irrational, the other is rational.
which of the following numbers is an example of an integer
-15
3/5
^7
0.252525...
I'm sorry, but the explanation provided is incorrect. Let me clarify the concept of rational and irrational numbers for you.
A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In other words, a rational number can be written as a fraction.
On the other hand, an irrational number is a number that cannot be expressed as a simple fraction. Irrational numbers cannot be written as the quotient of two integers, and they cannot be expressed as terminating or repeating decimals.
In this case, Student B is correct. The square root of 2 is an irrational number. This means that the square root of 2 over 8 cannot be simplified to a fraction or expressed as a terminating or repeating decimal. Therefore, the square root of 2 over 8 is an irrational number.
To double-check, you can try calculating the value of √2 / 8 using a calculator. You will see that it gives you an approximation that is not a simple fraction or repeating decimal.
It's important to understand that the rationality or irrationality of a number is determined by the properties of the number itself, not by the value of any denominator. In this case, the square root of 2 remains irrational even when combined with the denominator 8.