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 \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

6 e^{- 0.12 x} cos (0.25 x)

(e^{- (\frac{x ^{2}}{5}) - (\frac{y ^{2}}{5})})^{2}

\frac{x ^{2}}{( 0.2 - x ) ^{2}}

e^{3 x} \cdot 2 e^{2 x}

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