What is sqrt(4+2\sqrt{3)}-sqrt(4-2\sqrt{3)} ?

The solution to sqrt(4+2\sqrt{3)}-sqrt(4-2\sqrt{3)} is 2

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simplify sqrt(4+2\sqrt{3)}-sqrt(4-2\sqrt{3)}

simplify

4 + 23 - 4 - 23

2

Solution steps

4 + 23 - 4 - 23

4 + 23 = 3 + 1

4 - 23 = 3 - 1

= 3 + 1 - (3 - 1)

Expand

- (3 - 1) : - 3 + 1

= 3 + 1 - 3 + 1

Add similar elements:

3 - 3 = 0

= 1 + 1

Add the numbers:

1 + 1 = 2

= 2

\frac{1}{3} + \frac{2}{5} + \frac{2}{15}

ab \times ab

3 x^{2} - 24

x^{2} - 7 + 12

What is sqrt(4+2\sqrt{3)}-sqrt(4-2\sqrt{3)} ?
The solution to sqrt(4+2\sqrt{3)}-sqrt(4-2\sqrt{3)} is 2