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

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

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

simplify

3 + 22 - 3 - 22

2

Solution steps

3 + 22 - 3 - 22

3 + 22 = 2 + 1

3 - 22 = 2 - 1

= 2 + 1 - (2 - 1)

Expand

- (2 - 1) : - 2 + 1

= 2 + 1 - 2 + 1

Add similar elements:

2 - 2 = 0

= 1 + 1

Add the numbers:

1 + 1 = 2

= 2

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0.003 \frac{1 m ^{3}}{100 l}

\frac{2}{x} - \frac{4}{6 x ^{2}}

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