Question

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

Answer 1

$\sf\large\green{\underline { }}(1 + 3 \sqrt{2} )(1 - 3 \sqrt{2} ) \\ \\ \sf\large\red{ (x + y)(x - y) = {x}^{2} - {y}^{2} }....identity \\ \\ \sf\large\green{\underline { }} = > {1}^{2} - ( {3 \sqrt{2}) }^{2} \\ \\ \sf\large\green{\underline { }} = > 1 - 9(2) \\ \\ \sf\large\green{\underline { }} = > 1 - 18 \\ \\ \sf\large\green{\underline { }} = > \sf\large\green{\underline { - 17}}$

$\sf\large\green{\underline { - 17 \: is \: rational....}}$

Mark as brainliest....✌️✌️

Answer 2

Answer:

$1\ + 3\sqrt{2}\ X\ 1\ - 3\sqrt{2}\\\\ \implies\ 1(1\ - 3\sqrt{2})\ + 3(1\ - 3\sqrt{2})\\\\1\ - 3\sqrt{2}\ + 3\ - 9\sqrt{2}\\\\ \implies 4\ - 6\sqrt{2}\\\\ Furter\ it's\ your\ wish\ you want\ to\ solve\ by\ putting\ value\ of \sqrt{2}\ or\ not.\\The\ answer\ is\ irrational$

Step-by-step explanation:

Hope it helps :)