What is (sqrt(x)+2sqrt(3))^2 ?

The solution to (sqrt(x)+2sqrt(3))^2 is x+4sqrt(3)sqrt(x)+12

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simplify (sqrt(x)+2sqrt(3))^2

simplify

(x + 23)^{2}

x + 43 x + 12

Solution steps

(x + 23)^{2}

Apply Perfect Square Formula:

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

(x + 23)^{2} = (x)^{2} + 2 x \cdot 23 + (23)^{2}

= (x)^{2} + 2 x \cdot 23 + (23)^{2}

(x)^{2} = x

2 x \cdot 23 = 43 x

(23)^{2} = 12

= x + 43 x + 12

(cos (θ) + i sin (θ))^{2}

(\frac{1}{2} x - \frac{2}{3} y) (\frac{1}{2} x + \frac{2}{3} y)

(x - 52)^{2}

(1 - \frac{x}{2})^{8}

\frac{x + 1}{( x ^{2} + 1 ) ^{2} ( x ^{2} + x + 1 )}

What is (sqrt(x)+2sqrt(3))^2 ?
The solution to (sqrt(x)+2sqrt(3))^2 is x+4sqrt(3)sqrt(x)+12