Question

(35 pts)Evaluate the reasoning provided by both students A and B and correct the errors Make sure to provide proper reasoning. Only answer if you know your answer is correct please.​

Answer 1

Answer:

see the explanation

Step-by-step explanation:

we know that

A Rational Number is a number that can be made by dividing two integers

we have

$\frac{\sqrt{2}}{8}$

$\sqrt{2}$ ----> is not a integer

so

The given number cannot be rewritten as the quotient of two integers

therefore

The given number is irrational

Student A is incorrect because is a irrational number and not all fractions are rational

Student B reasoning is incorrect, because there are fractions that have as numerator an irrational number and can be rational numbers

example

$\frac{\sqrt{2}}{3\sqrt{2}}=\frac{1}{3}$ ----> is a rational number and the numerator is a irrational number