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

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

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

simplify

(2 x + 3)^{2}

4 x + 43 x + 3

Solution steps

(2 x + 3)^{2}

Apply Perfect Square Formula:

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

(2 x + 3)^{2} = (2 x)^{2} + 2 \cdot 2 x 3 + (3)^{2}

= (2 x)^{2} + 2 \cdot 2 x 3 + (3)^{2}

(2 x)^{2} = 4 x

2 \cdot 2 x 3 = 43 x

(3)^{2} = 3

= 4 x + 43 x + 3

(1 - i)^{9}

(2 - 2 i)^{5}

(3 + 3 sin (x))^{2}

\frac{2 x + 3}{( x - 1 ) ( x ^{2} + 4 )}

\frac{1}{( x - 1 ) ( x + 1 )}

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