14sqrt20-3sqrt125.....so we have...
14√(4*5) - 3√(25*5) =
14(2)√5 - 3(5)√5 =
28√5 - 15√5 =
13√5
----------------------------------------------------------------------------------------------------
cubedroot 54+cubedroot 16 =
3√54 + 3√16 =
3√(27*2) + 3√(8*2) =
(3)3√(2) + (2)3√(2) =
(5) 3√(2)
(sqrt3+sqrt5)^2 -->
(sqrt3+sqrt5)(sqrt3+sqrt5) -->
sqrt(9) + sqrt(15) + sqrt(15) + sqrt(25) -->
3 + 2sqrt(15) + 5 -->
8 + 2sqrt(15)
I assume it should be (14√x+3√y)^2:
If so:
(14√x+3√y)(14√x+3√y)
196sqrt(x*x) + 42sqrt(xy) + 42sqrt(xy) + 9sqrt(y*y)
196x + 42sqrt(xy) + 42sqrt(xy) + 9y
196x + 84sqrt(xy) + 9y
14√x+3√y
This one can't be simplified any more, Nataszaa. We can't add unlike radicals.
14sqrt20-3sqrt125.....so we have...
14√(4*5) - 3√(25*5) =
14(2)√5 - 3(5)√5 =
28√5 - 15√5 =
13√5
----------------------------------------------------------------------------------------------------
cubedroot 54+cubedroot 16 =
3√54 + 3√16 =
3√(27*2) + 3√(8*2) =
(3)3√(2) + (2)3√(2) =
(5) 3√(2)