What is (sqrt(x)-sqrt(6))^2 ?

The solution to (sqrt(x)-sqrt(6))^2 is x-2sqrt(6)sqrt(x)+6

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simplify (sqrt(x)-sqrt(6))^2

simplify

(x - 6)^{2}

x - 26 x + 6

Solution steps

(x - 6)^{2}

Apply Perfect Square Formula:

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

(x - 6)^{2} = (x)^{2} - 2 x 6 + (6)^{2}

= (x)^{2} - 2 x 6 + (6)^{2}

(x)^{2} = x

- 2 x 6 = - 26 x

(6)^{2} = 6

= x - 26 x + 6

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What is (sqrt(x)-sqrt(6))^2 ?
The solution to (sqrt(x)-sqrt(6))^2 is x-2sqrt(6)sqrt(x)+6