Question

Q- Give an example of two Irrational Numbers whose product is an irrational.

A- √2,√2
Here √2 is irrational....I agree but √2 × √2 = √4 = *2* but it is rational

Answer 1

Answer:

Examples of two irrational numbers whose product is an irrational are:-

• √3 × √2 = √6
• √5 × √2 = √10
• √6 × √3 = √18 = 3√2

So, we can say that if two irrational numbers are multiplied the resultant number can be both irrational and rational.

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• What is Rational Number ?

The numbers which can be expressed in the form of p by q, where p and q are integers and q is not equal to 0, is known as a rational number.

• What is Irrational Number ?

The numbers which cannot be expressed in the form of p by q, where p and q are integers and q is not equal to 0, is known as an irrational number.

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Answer 2

$\tt\huge\purple{hello!!!}$

HERE IS UR ANSWER

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Let two irrational numbers be

$\sqrt{2} \: and \: \sqrt{3}$

product of these numbers

$\sqrt{2} \times \sqrt{3}$

we get an irrational number

$\sqrt{6}$

$\fbox{NOTE: even though there are two irrational numbers whose products are rational but the other numbers gives irrational products too}$

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