What is (sqrt(x)+sqrt(5))^2 ?

The solution to (sqrt(x)+sqrt(5))^2 is x+2sqrt(5)sqrt(x)+5

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simplify (sqrt(x)+sqrt(5))^2

simplify

(x + 5)^{2}

x + 25 x + 5

Solution steps

(x + 5)^{2}

Apply Perfect Square Formula:

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

(x + 5)^{2} = (x)^{2} + 2 x 5 + (5)^{2}

= (x)^{2} + 2 x 5 + (5)^{2}

(x)^{2} = x

2 x 5 = 25 x

(5)^{2} = 5

= x + 25 x + 5

(1 + cos (θ))^{2}

\frac{x ^{2} + 2 x - 5}{( x - 1 ) ( x ^{2} - 9 )}

(2 - x)^{2}

(2 x^{3} + \frac{1}{x})^{29}

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

What is (sqrt(x)+sqrt(5))^2 ?
The solution to (sqrt(x)+sqrt(5))^2 is x+2sqrt(5)sqrt(x)+5