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

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

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

simplify

3 + 5 \cdot 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

9^{x}

e^{- x} \times e^{2 x}

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