What is (sqrt(n)+sqrt(6))^2 ?

The solution to (sqrt(n)+sqrt(6))^2 is n+2sqrt(6)sqrt(n)+6

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simplify (sqrt(n)+sqrt(6))^2

simplify

(n + 6)^{2}

n + 26 n + 6

Solution steps

(n + 6)^{2}

Apply Perfect Square Formula:

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

(n + 6)^{2} = (n)^{2} + 2 n 6 + (6)^{2}

= (n)^{2} + 2 n 6 + (6)^{2}

(n)^{2} = n

2 n 6 = 26 n

(6)^{2} = 6

= n + 26 n + 6

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