What is (x+sqrt(2))^2 ?

The solution to (x+sqrt(2))^2 is x^2+2sqrt(2)x+2

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simplify (x+sqrt(2))^2

simplify

(x + 2)^{2}

x^{2} + 22 x + 2

Solution steps

(x + 2)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(x + 2)^{2} = x^{2} + 2 x 2 + (2)^{2}

= x^{2} + 2 x 2 + (2)^{2}

2 x 2 = 22 x

(2)^{2} = 2

= x^{2} + 22 x + 2

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