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

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^{x} \times 4^{x}

10 e^{- 12500 \cdot 100 \cdot 1 0^{- 6}}

0.77 \cdot 1.2 \cdot 1 0^{- 3} \cdot (10 - 20)

4.6 \cdot 1 0^{- 5}

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