Question 12
\[
(\sqrt{2}+\sqrt{3})^{2}=
\]

Answer

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Answer

\(\boxed{5 + 2\sqrt{6}}\) is the final answer

Steps

Step 1 ：Given the expression \((\sqrt{2}+\sqrt{3})^{2}\)

Step 2 ：We can simplify this using the formula for the square of a binomial, which is \((a+b)^2 = a^2 + 2ab + b^2\). Here, \(a\) is \(\sqrt{2}\) and \(b\) is \(\sqrt{3}\)

Step 3 ：Substituting \(a\) and \(b\) into the formula, we get \((\sqrt{2})^2 + 2(\sqrt{2})(\sqrt{3}) + (\sqrt{3})^2\)

Step 4 ：Solving this, we get \(2 + 2\sqrt{6} + 3\)

Step 5 ：Combining like terms, we get \(5 + 2\sqrt{6}\)

Step 6 ：\(\boxed{5 + 2\sqrt{6}}\) is the final answer

Question 12\[(\sqrt{2}+\sqrt{3})^{2}=\]

Answer

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Question 12
\[
(\sqrt{2}+\sqrt{3})^{2}=
\]