Question

Simplify : (3√3+2√2) (2√3+3√2)



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Answer 1

On simplifying the above-mentioned equation, we get 30+ 13$\sqrt{6}$.

Step-by-step explanation:

Given equation = $(3\sqrt{3} + 2\sqrt{2}) (2\sqrt{3} + 3\sqrt{2)}$

Solution:

Simplifying the above equation:

$(3\sqrt{3} + 2\sqrt{2}) (2\sqrt{3} + 3\sqrt{2)}$

($3\sqrt{3}$×$2\sqrt{3}$ )+ ($3\sqrt{3}$×$3\sqrt{2}$ )+($2\sqrt{2}$×$2\sqrt{3}$ )+($2\sqrt{2}$×$3\sqrt{2}$)

6×3 + 9$\sqrt{6}$ + 4$\sqrt{6}$ +6×2

18 + 9$\sqrt{6}$ + 4$\sqrt{6}$ + 12

30+ 13$\sqrt{6}$

Result:

Thus, on simplifying the above mentioned equation, we get 30+ 13$\sqrt{6}$.

(#SPJ2)

Answer 2

Answer:

The simplified form of the given equation is $30+13\sqrt{6}$.

Step-by-step explanation:

The data given in the question says us to simplify the following equation:

$=(3\sqrt{3} +2\sqrt{2} )(2\sqrt{3}+3\sqrt{2})\\*=3\sqrt{3}(2\sqrt{3}+3\sqrt{2}) + 2\sqrt{2} (2\sqrt{3}+3\sqrt{2})\\*=(6\times 3) + 9\sqrt{6}+4\sqrt{6}+(6\times 2)\\*=18+13\sqrt{6} + 12\\* =30+13\sqrt{6}$

Therefore, the simplified form of the equation is $30+13\sqrt{6}$.

#SPJ2