Question

find the product of 1+3 √2 and 1-3 √2.is this producta a rational or irrational?​

Answer 1

Answer:

Rational

Step-by-step explanation:

( 1 + 3√2 )( 1 - 3√2 )

(1)^2 - (3 √2)^2 [ (a+b)(a-b) = a^2 - b^2 ]

1 - (9*2)

1 - 18

-17

-17 is a rational no.

therefore product of the 1+3 √2 and 1-3 √2 is rational no.

Answer 2

Answer:

Rational

Step-by-step explanation:

( 1 + 3√2 )( 1 - 3√2 )

(1)^2 - (3 √2)^2 [ (a+b)(a-b) = a^2 - b^2 ]

1 - (9*2)

1 - 18

-17

-17 is a rational no.

therefore product of the 1+3 √2 and 1-3 √2 is rational no.