What is sqrt(\sqrt{2)+1}*sqrt(\sqrt{2)-1} ?

The solution to sqrt(\sqrt{2)+1}*sqrt(\sqrt{2)-1} is 1

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simplify sqrt(\sqrt{2)+1}*sqrt(\sqrt{2)-1}

simplify

2 + 1 \cdot 2 - 1

1

Solution steps

2 + 1 2 - 1

Apply radical rule:

a b = a \cdot b

1 + 2 2 - 1 = (1 + 2) (2 - 1)

= (1 + 2) (2 - 1)

(2 + 1) (2 - 1) = 1

= 1

Apply rule

1 = 1

= 1

- (16)^{2}

2^{\frac{1}{3}} 4^{\frac{1}{3}}

(7 x) (8 x^{5})

\frac{- 32}{- 16}

What is sqrt(\sqrt{2)+1}*sqrt(\sqrt{2)-1} ?
The solution to sqrt(\sqrt{2)+1}*sqrt(\sqrt{2)-1} is 1