What is sqrt(3+\sqrt{5)}sqrt(3-\sqrt{5)} ?

The solution to sqrt(3+\sqrt{5)}sqrt(3-\sqrt{5)} is 2

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simplify sqrt(3+\sqrt{5)}sqrt(3-\sqrt{5)}

simplify

3 + 5 3 - 5

2

Solution steps

3 + 5 3 - 5

Apply radical rule:

a b = a \cdot b

3 + 5 3 - 5 = (3 + 5) (3 - 5)

= (3 + 5) (3 - 5)

(3 + 5) (3 - 5) = 4

= 4

Factor the number:

4 = 2^{2}

= 2^{2}

Apply radical rule:

2^{2} = 2

= 2

x^{2} (e^{- x})

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

36.71 \cdot 236.31

e^{2 x} \cdot e^{x^{2}}

112 \cdot 1000 \cdot 2.39 \cdot 1 0^{- 4}

What is sqrt(3+\sqrt{5)}sqrt(3-\sqrt{5)} ?
The solution to sqrt(3+\sqrt{5)}sqrt(3-\sqrt{5)} is 2