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

e^{- 3 \cdot 1 0^{- 4} \cdot 7000}

2 - 3 \times 2 + 3

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

\frac{0.12 9 ^{2}}{1.9 6 ^{2}}

e^{- 2 t} sin (t)

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