Question

Let x be a rational number and y be an irrational number.Is ab necessarily an irrational number?Given an example in support of your answer.​

Answer 1

Easy + interesting ✌

Question➡ Let x be a a rational number and y be an irrational no. Is xy necessarily an irrational no? Give example.

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Solution➡

If x is a rational number and y is an irrational number then the product of x and y can be irrational or rational.

For e.g

${2} × \sqrt {4}$

= 2 × 2

= 4

It is a rational number.

Other e.g

${3} × \sqrt {8}$

= ${3} \sqrt {8}$

It is an irrational no.

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