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

The solution to (2sqrt(x)+sqrt(5))^2 is 4x+4sqrt(5)sqrt(x)+5

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

simplify

(2 x + 5)^{2}

4 x + 45 x + 5

Solution steps

(2 x + 5)^{2}

Apply Perfect Square Formula:

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

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

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

(2 x)^{2} = 4 x

2 \cdot 2 x 5 = 45 x

(5)^{2} = 5

= 4 x + 45 x + 5

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What is (2sqrt(x)+sqrt(5))^2 ?
The solution to (2sqrt(x)+sqrt(5))^2 is 4x+4sqrt(5)sqrt(x)+5