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

The solution to (sqrt(2)+sqrt(6))^2 is 8+4sqrt(3)

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

simplify

(2 + 6)^{2}

8 + 43

Decimal Notation

14.92820 \dots

Solution steps

(2 + 6)^{2}

Apply Perfect Square Formula:

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

(2 + 6)^{2} = (2)^{2} + 226 + (6)^{2}

= (2)^{2} + 226 + (6)^{2}

(2)^{2} + 226 + (6)^{2} = 8 + 43

= 8 + 43

\frac{2}{x + 8} + \frac{4}{x + 1}

8 (2 a + 3 b) (2 a + 3 b) (3 b + 2 a)

(n + 2) (0.5 n + 1)

1 - 2 cos^{2} (x)

\frac{( a + 8 )}{( a + 2 )} + \frac{( a - 4 )}{- ( a + 2 )}