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

The solution to (sqrt(x)+5sqrt(2))^2 is x+10sqrt(2)sqrt(x)+50

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

simplify

(x + 52)^{2}

x + 102 x + 50

Solution steps

(x + 52)^{2}

Apply Perfect Square Formula:

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

(x + 52)^{2} = (x)^{2} + 2 x \cdot 52 + (52)^{2}

= (x)^{2} + 2 x \cdot 52 + (52)^{2}

(x)^{2} = x

2 x \cdot 52 = 102 x

(52)^{2} = 50

= x + 102 x + 50

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\frac{8 ( s + 1 ) ( s + 20 )}{s ( s ^{2} + 5 s + 16 ) ( s + 10 )}

6 (2 - 2)

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What is (sqrt(x)+5sqrt(2))^2 ?
The solution to (sqrt(x)+5sqrt(2))^2 is x+10sqrt(2)sqrt(x)+50