I am having some trouble with square roots. I have been trying lots to solve these problems, but I just can't get it! Thanks for any help anyone can provide!!!
Here are the questions:
1. (square root of 2 - square root of three)^2
2. (3 square root of five - 2 square root of three) x (3 square root of five - 2 square root of three)
3. Write the least and the greatest in this set of numbers. 5 square root of 7, 3 square root of 7, 4 square root of 7, square root of seven or 6 square root of seven
Any help is truly appreciated! Thank you! 
+23251 1. [sqrt(2) - sqrt(3)]2 = [sqrt(2) - sqrt(3)] · [sqrt(2) - sqrt(3)]
= sqrt(2)·sqrt(2) - sqrt(3)·sqrt(2) - sqrt(2)·sqrt(3) + sqrt(3)·sqrt(3)
= 2 - 2·sqrt(2)·sqrt(3) + 3
= 5 - 2·sqrt(2)·sqrt(3)
= 5 - 2sqrt(6)
2. [ 3sqrt(5) - 2sqrt(3) ] x [ 3sqrt(5) - 2sqrt(3) ]
= 3sqrt(5)·3sqrt(5) + 3sqrt(5)·-2sqrt(3) - 2sqrt(3)·3sqrt(5) - 2sqrt(3)·-2sqrt(3)
= 9·5 - 6sqrt(5)·sqrt(3) - 6sqrt(3)sqrt(5) + 4·3
= 45 - 12sqrt(3)sqrt(5) + 12
= 57 - 12sqrt(3)sqrt(5)
= 57 - 12sqrt(15)
3. sqrt(7) < 3sqrt(7) < 4sqrt(7) < 5sqrt(7) < 6sqrt(7)
