Question

simplify. (3+√3)(2+√2)²​

Answer 1

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Answer 2

• As per data given in the question, we have to simplify the given expression.

       Given data- $(3+\sqrt{3}(2+\sqrt{2})^{2}.$

       To simplify the given expression.

       Solution:-

       $\Rightarrow (3+\sqrt{3})(2+\sqrt{2})^{2}\\\Rightarrow (3+\sqrt{3})\times2^{2}+2\times2\times\sqrt{2}+(\sqrt{2}) ^{2} \\\Rightarrow (3+\sqrt{3})\times(4+4\sqrt{2}+2\\\Rightarrow ((3+\sqrt{3})(6+4\sqrt{2})\\\Rightarrow 3\times6+3\times4\sqrt{2}+\sqrt{3}\times6+\sqrt{3}\times4\sqrt{2}\\\Rightarrow 18+12\sqrt{2}+6\sqrt{3}+4\sqrt{6}$

       Hence, the value will be $18+12\sqrt{2}+6\sqrt{3}+4\sqrt{6}.$