What is (sqrt(11)+sqrt(13))(sqrt(11)+sqrt(13)) ?

The solution to (sqrt(11)+sqrt(13))(sqrt(11)+sqrt(13)) is 24+2sqrt(143)

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simplify (sqrt(11)+sqrt(13))(sqrt(11)+sqrt(13))

simplify

(11 + 13) (11 + 13)

24 + 2143

Decimal Notation

47.91652 \dots

Solution steps

(11 + 13) (11 + 13)

Apply exponent rule:

aa = a^{2}

(11 + 13) (11 + 13) = (11 + 13)^{2}

= (11 + 13)^{2}

Apply Perfect Square Formula:

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

(11 + 13)^{2} = (11)^{2} + 21113 + (13)^{2}

= (11)^{2} + 21113 + (13)^{2}

(11)^{2} + 21113 + (13)^{2} = 24 + 2143

= 24 + 2143

(20)^{3}

e^{- 2 t} (2 e^{2 t} t - e^{2 t} + C)

a^{2} x b^{2}

e^{- \frac{t}{2}}

1.1 \times 1 0^{- 3}

What is (sqrt(11)+sqrt(13))(sqrt(11)+sqrt(13)) ?
The solution to (sqrt(11)+sqrt(13))(sqrt(11)+sqrt(13)) is 24+2sqrt(143)