Mathematics: (3+√2)^2 Please show work

(3+√2)^2 Please show work - id3227661808, marusiaturanova2004

Ответ:

ravenmcfarlandp07okx

02.02.2022

$\boxed{\sf {(3+\sqrt{2})}^2 = 11 + 6 \sqrt{2} }$

Step-by-step explanation:

$\sf \implies {(3 + \sqrt{2} )}^{2} \\ \\ \sf \implies (3 + \sqrt{2} )(3 + \sqrt{2} ) \\ \\ \sf \implies 3(3 + \sqrt{2} ) + \sqrt{2} (3 + \sqrt{2} ) \\ \\ \sf \implies (3 \times 3) + (3 \times \sqrt{2} ) + ( \sqrt{2} \times 3) + ( \sqrt{2} \times \sqrt{2} ) \\ \\ \sf \implies 9 + 3 \sqrt{2} + 3 \sqrt{2} + 2 \\ \\ \sf \implies 9 + 6 \sqrt{2} + 2 \\ \\ \sf \implies 11 + 6 \sqrt{2}$

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(3+√2)^2 Please show work

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