Question

The number
(3 – root2)(3+root2) is​

Answer 1

Answer:

The product of two irrational numbers is sometimes irrational.

so the number is either irrational or rational.

Step-by-step explanation:

Hope it helps you.....

Answer 2

To Find

( 3 - √2 )( 3 + √2 )

Technique 1

Apply Distributive Properties and then multiply.

Solving

( 3 - √2 )( 3 + √2 )

3( 3 + √2 ) - √2( 3 + √2 )

9 + 3√2 - 3√2 - √2( √2 )

9 - 2

7

Technique 2

Apply formula,

( a + b )( a - b ) = a² - b²

Solving

( 3 - √2 )( 3 + √2 )

3² - ( √2 )²

9 - 2

7

Answer

So, answer is 7.

So, number is rational and integer.

Note:-

Product of Irrational number can be Rational and Irrational both.

Learn More :-

( a + b )² = a² + 2ab + b²

( a - b )² = a² - 2ab + b²