Question

find the product of (1+3√2) and (1-3√2). Is this product rational or irrational​

Answer 1

Answer:

⭐ Answer ⭐

$use \: (a + b)(a - b) = {a}^{2} - {b}^{2} \\ \\ we \: get \\ \\ (1 + 3 \sqrt{2} )(1 - 3 \sqrt{2} ) = {(1)}^{2} - {(3 \sqrt{2}) }^{2} \\ \\ = 1 - 18 = </em></strong><strong><em>-</em></strong><strong><em>17 \\ \\ </em></strong><strong><em>-</em></strong><strong><em>17 \: is \: a \: rational \: number.$