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

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

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

simplify

(6 + 5) (6 + 5)

11 + 230

Decimal Notation

21.95445 \dots

Solution steps

(6 + 5) (6 + 5)

Apply exponent rule:

aa = a^{2}

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

= (6 + 5)^{2}

Apply Perfect Square Formula:

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

(6 + 5)^{2} = (6)^{2} + 265 + (5)^{2}

= (6)^{2} + 265 + (5)^{2}

(6)^{2} + 265 + (5)^{2} = 11 + 230

= 11 + 230

2^{- 1}

- 2 4 - (- 2)^{2}

\frac{5 + 5}{2}

2^{- π}

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