What is sqrt(\sqrt{3)+1}*sqrt(\sqrt{3)-1} ?

The solution to sqrt(\sqrt{3)+1}*sqrt(\sqrt{3)-1} is square root of 2

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simplify sqrt(\sqrt{3)+1}*sqrt(\sqrt{3)-1}

simplify

3 + 1 \cdot 3 - 1

2

Decimal Notation

1.41421 \dots

Solution steps

3 + 1 3 - 1

Apply radical rule:

a b = a \cdot b

1 + 3 3 - 1 = (1 + 3) (3 - 1)

= (1 + 3) (3 - 1)

(3 + 1) (3 - 1) = 2

= 2

2 π^{12} \cdot 2

\frac{0.25}{π} (2 e^{- (0.25)^{2}})

7 \cdot (14.8 \cdot 1 0^{- 3})

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

What is sqrt(\sqrt{3)+1}*sqrt(\sqrt{3)-1} ?
The solution to sqrt(\sqrt{3)+1}*sqrt(\sqrt{3)-1} is square root of 2