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

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

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simplify (sqrt(x)+sqrt(2))^2

simplify

(x + 2)^{2}

x + 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}

(x)^{2} = x

2 x 2 = 22 x

(2)^{2} = 2

= x + 22 x + 2

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(z^{3} + 3 z + 1)^{6}

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(x + 1)^{2}

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