Question

If a = √2,b=√3, what is
the value of (a+b)^2 -2ab​

Answer 1

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Answer 2

Step-by-step explanation:

${(a + b)}^{2} - 2ab \\ = {a}^{2} + {b}^{2} + 2ab - 2ab \\ = {a}^{2} + {b}^{2} \cancel{+ 2ab} \cancel{ - 2ab} \\ = {a}^{2} + {b}^{2} \\ {(\sqrt{2}) }^{2} + { (\sqrt{3}) }^{2} \\ = 2 + 3 \\ \boxed{= \underline{ \underline{5}}}$