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

The solution to sqrt(2+\sqrt{2)}*sqrt(2-\sqrt{2)} is square root of 2

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simplify sqrt(2+\sqrt{2)}*sqrt(2-\sqrt{2)}

simplify

2 + 2 \cdot 2 - 2

2

Decimal Notation

1.41421 \dots

Solution steps

2 + 2 2 - 2

Apply radical rule:

a b = a \cdot b

2 + 2 2 - 2 = (2 + 2) (2 - 2)

= (2 + 2) (2 - 2)

(2 + 2) (2 - 2) = 2

= 2

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

e^{(- \frac{1.8}{8.62 \cdot 1 0 ^{- 5} \cdot 1123})}

\frac{1}{32} e^{- 2 x} (sin (2 x) + e^{4 x} cos (2 x))

e^{2} e^{- 1}

What is sqrt(2+\sqrt{2)}*sqrt(2-\sqrt{2)} ?
The solution to sqrt(2+\sqrt{2)}*sqrt(2-\sqrt{2)} is square root of 2