What is (sqrt(5)+sqrt(6))(sqrt(5)+sqrt(6)) ?

The solution to (sqrt(5)+sqrt(6))(sqrt(5)+sqrt(6)) is 11+2sqrt(30)

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simplify (sqrt(5)+sqrt(6))(sqrt(5)+sqrt(6))

simplify

(5 + 6) (5 + 6)

11 + 230

Decimal Notation

21.95445 \dots

Solution steps

(5 + 6) (5 + 6)

Apply exponent rule:

aa = a^{2}

(5 + 6) (5 + 6) = (5 + 6)^{2}

= (5 + 6)^{2}

Apply Perfect Square Formula:

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

(5 + 6)^{2} = (5)^{2} + 256 + (6)^{2}

= (5)^{2} + 256 + (6)^{2}

(5)^{2} + 256 + (6)^{2} = 11 + 230

= 11 + 230

\frac{- 16}{- 4}

- 12 y^{3} (2 x y)

(x + 1)^{2} \cdot (x - 1)^{2}

(25)^{2}

4 \cdot 43

What is (sqrt(5)+sqrt(6))(sqrt(5)+sqrt(6)) ?
The solution to (sqrt(5)+sqrt(6))(sqrt(5)+sqrt(6)) is 11+2sqrt(30)