Question

Pls helpfind the product of 1 plus 3 root 2 and 1 minus 3 root 2.
Is this rational or irrational.

Answer 1

Answer:

$rational \: number$

$- 17$

Step-by-step explanation:

$using \: identity$

$(a + b)(a - b) = {a}^{2} -{b}^{2}$

$(1 + 3 \sqrt{2} ) \times (1 - 3 \sqrt{2} )$

$= {(1)}^{2} - {(3 \sqrt{2} )}^{2}$

$= 1 - 18$

$= - 17$

$as \: there \: is \: no \: root \: so \: it \: is \: a \: rational \: number$