Question

Simplify the expression
$(3 + \sqrt{3)} (3 - \sqrt{3)}$
​

Answer 1

Hey brainly user!

Here is your answer...

$(3 + \sqrt{3} )(3 - \sqrt{3} )$

$3(3 - \sqrt{3} ) \sqrt{3} (3 - \sqrt{3)}$

$9 - 3 \sqrt{3} + 3 \sqrt{3} - \sqrt{3} {}^{2}$

$9 - 3$

$6$

Answer 2

Hey there!

Given,

$(3 + \sqrt{3})(3 - \sqrt{3})\\\\\text{Using } (a+b)(a-b) = a^2 - b^2:\\\\=3^2 - \sqrt{3}^2\\\\=9 - 3\\\\=6$