State True or False.
Let $x$ be rational and $y$ be irrational, then $x y$ necessarily irrational.
0

Open in App

Solution

The correct option is A 0
Let $x = 0$ and $y = \sqrt{2}$
Then, $0 \times \sqrt{2} = 0$ which is not irrational.
Therefore, the answer is false.

Suggest Corrections

Similar questions

Q. Let x and y be rational and irrational numbers, respectively, then x + y necessarily an irrational number.

State True or False.

Q. Question 2
Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example.

Q. Question 2
Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example.

Let $x$ be a rational number and $y$ be an irrational number. Is $x + y$ necessarily an irrational number ? Give an example in support of your answer.

Q. If

x

and

y

are two rational and irrational numbers respectively then which of the following are necessarily irrational.

Join BYJU'S Learning Program

State True or False.Let x be rational and y be irrational, then xy necessarily irrational.0

The correct option is A 0Let x=0 and y=√2 Then, 0×√2=0 which is not irrational.Therefore, the answer is false.

State True or False.
Let $x$ be rational and $y$ be irrational, then $x y$ necessarily irrational.
0

The correct option is A 0
Let $x = 0$ and $y = \sqrt{2}$
Then, $0 \times \sqrt{2} = 0$ which is not irrational.
Therefore, the answer is false.