Question

Simplify each of the following expressions:
$(3+\sqrt{3})(3-\sqrt{3})$

Answer 1

Sol:

Given,

to simplify following expression,

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

as we know that $(a+b)(a-b)=a^2-b^2$

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

here $a=3,b=\sqrt{3}$

so we get

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

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

$=9-3$

$=6$

$(3+\sqrt{3})(3-\sqrt{3})=6$