Q

# Simplify each of the following expressions: (i) (3 + square root 3)(2 + square root 2)

2.  Simplify each of the following expressions:

(i)      $(3+\sqrt{3})(2+\sqrt{2})$

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Given number is  $(3+\sqrt{3})(2+\sqrt{2})$
Now, we will reduces it into
$\Rightarrow (3+\sqrt{3})(2+\sqrt{2})= 3.2+3.\sqrt{2}+\sqrt{3}.2+\sqrt{3}.\sqrt{2}$
$= 6+3\sqrt{2}+2\sqrt{3}+\sqrt{6}$

Therefore, answer is  $6+3\sqrt{2}+2\sqrt{3}+\sqrt{6}$

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