What is (sqrt(3)+sqrt(5))(sqrt(3)+sqrt(5)) ?

The solution to (sqrt(3)+sqrt(5))(sqrt(3)+sqrt(5)) is 8+2sqrt(15)

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simplify (sqrt(3)+sqrt(5))(sqrt(3)+sqrt(5))

simplify

(3 + 5) (3 + 5)

8 + 215

Decimal

15.74596 \dots

Solution steps

(3 + 5) (3 + 5)

Apply exponent rule:

aa = a^{2}

(3 + 5) (3 + 5) = (3 + 5)^{2}

= (3 + 5)^{2}

Apply Perfect Square Formula:

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

(3 + 5)^{2} = (3)^{2} + 235 + (5)^{2}

= (3)^{2} + 235 + (5)^{2}

(3)^{2} + 235 + (5)^{2} = 8 + 215

= 8 + 215

(e^{x} - e^{- x}) (e^{x} - e^{- x})

(- 3)^{2}

- 4 x y^{3} (5 x y^{5})

(10 m^{5}) (5 m^{2})

2 x^{4} y^{3} (5 x)

What is (sqrt(3)+sqrt(5))(sqrt(3)+sqrt(5)) ?
The solution to (sqrt(3)+sqrt(5))(sqrt(3)+sqrt(5)) is 8+2sqrt(15)