Question

ਇੱਕ ਗੈਰ-ਸਿਫਰ ਪਰਿਮੇਯ ਸੰਖਿਆ ਅਤੇ ਇੱਕ ਅਪਰਿਮੇਯ ਸੰਖਿਆ ਦਾ ਗੁਣਨਫਲ ਹੈ:
The product of a non-zero rational and an irrational number is:
1.
A) ਹਮੇਸ਼ਾ ਅਪਰਿਮੇਯ always irrational
c) ਪਰਿਮੇਯ ਜਾਂ ਅਪਰਿਮੇਯ rational or irrational
B) ਹਮੇਸ਼ਾ ਪਰਿਮੇਯ always rational
D) ਇੱਕ one
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Answer 1

Answer:

Phh I can't understand why u said that the class is there a way to get the class is there a way to get the answer

Answer 2

The correct answer is option A) always irrational.

Given:

The product of a non-zero rational and an irrational number is            .

To Find:

The nature of the resultant product.

Solution:

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is non-zero, i.e. it can be expressed in p/q form where p and q are integers and q≠0.

An irrational number is a number that cannot be expressed as a ratio or a fraction.

Let us find the solution to the given problem using the method of contradiction.

Let us assume that the product of a non-zero rational and an irrational number is rational.

⇒ a/b × y = m/n  .................................(I)

where a/b and m/n are rational and y is irrational.

Let us multiply b/a to both sides of equation (I).

⇒ b/a × a/b × y = b/a × m/n

⇒ y = bm/an

We are getting y in terms of a ratio or a fraction. This is contrary to the nature of y as we have assumed it to be an irrational number. Hence our assumption is wrong.

⇒ The product of a non-zero rational and an irrational number is always irrational.

The correct answer is option A) always irrational.

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