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

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

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

simplify

2 2 + 3 2 - 3

2

Solution steps

2 2 + 3 2 - 3

Apply radical rule:

a b = a \cdot b

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

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

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

= 21

Apply rule

1 = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

e^{- \frac{- 21883 - ( 43.72 \cdot 1023 )}{( 8.31 \cdot 1023 )}}

5.3 \cdot 1 0^{- 4}

(4 \cdot 1 0^{- 6}) \cdot (1 - e^{- \frac{1}{3}})

\frac{( 2 π α _{1} ) ^{- \frac{n}{2}}}{( 2 π α _{2} ) ^{- \frac{n}{2}}}

e^{- t} sin (x)

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