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

The solution to (5sqrt(x)+sqrt(2))^2 is 25x+10sqrt(2)sqrt(x)+2

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

simplify

(5 x + 2)^{2}

25 x + 102 x + 2

Solution steps

(5 x + 2)^{2}

Apply Perfect Square Formula:

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

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

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

(5 x)^{2} = 25 x

2 \cdot 5 x 2 = 102 x

(2)^{2} = 2

= 25 x + 102 x + 2

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What is (5sqrt(x)+sqrt(2))^2 ?
The solution to (5sqrt(x)+sqrt(2))^2 is 25x+10sqrt(2)sqrt(x)+2