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√2 + √27 + √75
= √2 + √(9.3) + √(25.3)
= √2 + 3√3 + 5√3
= √2 + 8√3
2)
√50 . √20
= √1000
= √(100.10)
= 10√10
3)
(2√5 - 3√3)(2√5 + 3√3)
= 2√5 . 2√5 + (-3√3).2√5 + 2√5 . 3√3
+ (-3√3 . 3√3)
= 4√25 - 6√15 + 6√15 - 9√9
= 4.5 - 9.3
= 20 - 27
= -7