What is sqrt(9+2\sqrt{20)}-sqrt(21+2\sqrt{80)} ?

The solution to sqrt(9+2\sqrt{20)}-sqrt(21+2\sqrt{80)} is -2

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simplify sqrt(9+2\sqrt{20)}-sqrt(21+2\sqrt{80)}

simplify

9 + 220 - 21 + 280

- 2

Solution steps

9 + 220 - 21 + 280

9 + 220 = 5 + 2

21 + 280 = 5 + 4

= 5 + 2 - (4 + 5)

- (5 + 4) : - 5 - 4

= 5 + 2 - 5 - 4

Simplify

5 + 2 - 5 - 4 : - 2

= - 2

\frac{sec ( x )}{csc ( x )}

2 x (2 x - 3) - 3 x (x - 2)

\frac{x + 2}{x ^{2} + 7 x + 10}

\frac{y ^{2} d y}{y ^{2} + 4}

\frac{1}{cot ( x )}

What is sqrt(9+2\sqrt{20)}-sqrt(21+2\sqrt{80)} ?
The solution to sqrt(9+2\sqrt{20)}-sqrt(21+2\sqrt{80)} is -2