What is sqrt(2+\sqrt{3)}\times sqrt(2-\sqrt{3)} ?

The solution to sqrt(2+\sqrt{3)}\times sqrt(2-\sqrt{3)} is 1

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simplify sqrt(2+\sqrt{3)}\times sqrt(2-\sqrt{3)}

simplify

2 + 3 \cdot 2 - 3

1

Solution steps

2 + 3 2 - 3

Apply radical rule:

a b = a \cdot b

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

= (2 + 3) (2 - 3)

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

= 1

Apply rule

1 = 1

= 1

0.059 (\frac{8.311}{0.33})^{- 0.54}

e^{- 0.0675 \cdot 8}

\frac{3 ^{2} \cdot 2 ^{3}}{3.2}

ln ((1 + 2 x)^{\frac{1}{2}}) \cdot \frac{1}{2} (1 + 2 x)^{- \frac{1}{2}}

k

What is sqrt(2+\sqrt{3)}\times sqrt(2-\sqrt{3)} ?
The solution to sqrt(2+\sqrt{3)}\times sqrt(2-\sqrt{3)} is 1