Question

Give an example for each of the following : i) The product of two irrational numbers is a rational number. ii)The product of two irrational numbers is an irrational number.

Answer 1

Answer:

1- The product of two irrational numbers is an irrational number.

The numbers

2

and

3

are both irrational and so

2

.

3

=

2.3

=

6

So the product of

2

and

3

both irrational is

6

(which is also irrational)

2- The product of two irrational numbers is a rational number.

The numbers

2

and

8

are irrational , but

2

.

8

=

16

= 4 is rational number.

So the product of

2

and

8

which are irrational numbers is 4 (rational number)

OR

1) 3×3=9

2)2.10110×5.20200= 10.929402

you can choose any one of them.....

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Answer 2

i) √2&√8 . √2×√8 = √( 2×8)= √ 16 = 4

sorry I don't know answer of ii)

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