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

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

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simplify (sqrt(2)+x)^2

simplify

(2 + x)^{2}

2 + 22 x + x^{2}

Solution steps

(2 + x)^{2}

Apply Perfect Square Formula:

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

(2 + x)^{2} = (2)^{2} + 22 x + x^{2}

= (2)^{2} + 22 x + x^{2}

Apply exponent rule:

(2)^{2} = 2

= 2 + 22 x + x^{2}

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