Question

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.

Koi bta do...mere dimaag ka Bhhaji Pala ho gya....help me

Answer 1

root 2×root 2 is a rational number

Step-by-step explanation:

The product of any two different irrational is an irrational

let us take root3and root2

Of we multiply them we get root6 an irrational

But,if we take same irrational numbers then we get a rational

Let take root 3 and root3

we get the product of root3 and root3 is 3 a rational number so to get an irrational we have to take two different numbers

Answer 2

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

HERE IS UR ANSWER

$_____________________________$

Let two irrational numbers be

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

product of these numbers

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

we get an irrational number

$\sqrt{6}$

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

${\huge{\mathfrak{\orange{\fcolorbox{red}{green}{\underline{thankS}}}}}}$