What is sqrt(\sqrt{5)+1}*sqrt(\sqrt{5)-1} ?

The solution to sqrt(\sqrt{5)+1}*sqrt(\sqrt{5)-1} is 2

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simplify sqrt(\sqrt{5)+1}*sqrt(\sqrt{5)-1}

simplify

5 + 1 \cdot 5 - 1

2

Solution steps

5 + 1 5 - 1

Apply radical rule:

a b = a \cdot b

1 + 5 5 - 1 = (1 + 5) (5 - 1)

= (1 + 5) (5 - 1)

(5 + 1) (5 - 1) = 4

= 4

Factor the number:

4 = 2^{2}

= 2^{2}

Apply radical rule:

2^{2} = 2

= 2

((x + 1)^{\frac{1}{2}})^{^{'}}

(x - 7)^{2} (x - 8)^{2}

(7.57 \times 1 0^{2}) (1.1 \times 1 0^{5})

63 x 1 0^{6} (\frac{700000}{1.471} x 1 0^{8})

What is sqrt(\sqrt{5)+1}*sqrt(\sqrt{5)-1} ?
The solution to sqrt(\sqrt{5)+1}*sqrt(\sqrt{5)-1} is 2