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

The solution to 2sqrt(3+\sqrt{5)}sqrt(3-\sqrt{5)} is 4

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simplify 2sqrt(3+\sqrt{5)}sqrt(3-\sqrt{5)}

simplify

2 3 + 5 3 - 5

4

Solution steps

2 3 + 5 3 - 5

Apply radical rule:

a b = a \cdot b

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

= 2 (3 + 5) (3 - 5)

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

= 24

4 = 2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

0.9 \cdot 1 0^{- 6}

s (s - a) (s - b) (s - c)

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

What is 2sqrt(3+\sqrt{5)}sqrt(3-\sqrt{5)} ?
The solution to 2sqrt(3+\sqrt{5)}sqrt(3-\sqrt{5)} is 4