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√540 540 | 2
270 | 2
135 | 3 2² * 3³ * 5 = 2² * 3² * 3 * 5
45 | 3
15 | 3
5 | 5
√540 = √(2² * 3² * 3 * 5) = √2² * √3² * √(3*5) = 2 * 3 * √15 = 6√15
√1160 1160 |2
580 |2
290 |2
145 |5
29 |29
√1160 = √(2² * 2 * 5 * 29) = 2√290
√3800 = 3800 |2
1900 |2
950 |2
475 |5
95 |5
19 |19
1
√3800 = √(2² * 5² * 2 * 19) = √2² * √5² * √(2*19) = 2 * 5 * √38 = 10√38