Question

The multiplication of a rational number'x' and
an irrational number 'y' is :
(A) always rational
(B) rational except when y = T
(C) always irrational
(D) irrational except when x = 0


give me full solutions......​

Answer 1

Answer:

D

Step-by-step explanation:

According to the universal truth that when we multiply a rational number except zero with an irrational number we will get only rational number but when we multiply it with zero then the answer is also zero that is a rational number

Now according to question the multiplication of X with Y is irrational except when X = 0

Hence option d is correct

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Answer 2

Answer:

(D) Irrational except when x = 0.

Step-by-step explanation:

The multiplication of a rational number'x' and

an irrational number 'y' is irrational, except when x = 0.

When you multiply a rational value except 0 with an irrational value the product will always be irrational.

But if the rational value is 0 then the product will be 0 , that is a rational value.

Because if you multiply anything with 0 then it'll be 0 itself.

• If you add an irrational value to a rational value the sum will always be irrational.

• If you subtract any irrational value from a rational value or vice versa the difference will always be irrational.

• If you multiply a rational value except 0 with an irrational value the product will always be irrational.

• If you divide a rational value except 0 with an irrational value the quotient will always be irrational.