2.  Simplify each of the following expressions:

(i)      (3+\sqrt{3})(2+\sqrt{2})

Answers (1)

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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