usuń niewymierność z mianownika
a)
√6 √2-2√3
_______ * _______ =
√2+2√3 √2-2√3
√6*(√2-2√3)
___________ =
(√2)²-(2√3)²
√12-2√18
________ =
2-4*3
2√3-6√2
_______ =
-10
-√3+3√2
_________
5
b)
1+√2 3-√2
____ * _____ =
3+√2 3-√2
(1+√2)(3-√2)
3²-(√2)²
3-√2+3√2-2
__________ =
9-2
1+2√2
_____
7
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a)
√6 √2-2√3
_______ * _______ =
√2+2√3 √2-2√3
√6*(√2-2√3)
___________ =
(√2)²-(2√3)²
√12-2√18
________ =
2-4*3
2√3-6√2
_______ =
-10
-√3+3√2
_________
5
b)
1+√2 3-√2
____ * _____ =
3+√2 3-√2
(1+√2)(3-√2)
___________ =
3²-(√2)²
3-√2+3√2-2
__________ =
9-2
1+2√2
_____
7