+865 The quantity \(\sqrt{45} - 2\sqrt{5} + \frac{\sqrt{360}}{\sqrt{2}}\) can be expressed as sqrtN, where $N$ is an integer. Find $N$.
Just do term by term on your calculator:
1 - sqrt(45 ) =6.7082039......
2 - 2*sqrt(5) = 4.472135955......
3 - Sqrt(360) / sqrt(2) =13.4164078.....
4 - [6.7082039...... - 4.472135955...... + 13.4164078..... = 15.65247584... This number is the square root of N.
5 - All you do is to square the result in 4: 15.65247584^2 =245 - which is your N. Simple, right?
