What is (sqrt(x)+12)^2 ?

The solution to (sqrt(x)+12)^2 is x+24sqrt(x)+144

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simplify (sqrt(x)+12)^2

simplify

(x + 12)^{2}

x + 24 x + 144

Solution steps

(x + 12)^{2}

Apply Perfect Square Formula:

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

(x + 12)^{2} = (x)^{2} + 2 x \cdot 12 + 1 2^{2}

= (x)^{2} + 2 x \cdot 12 + 1 2^{2}

(x)^{2} = x

2 x \cdot 12 = 24 x

1 2^{2} = 144

= x + 24 x + 144

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