Ułamek jest równyObliczenia
√5+2 √5+2 (√5)²+2*√5*2 +2²
------- * -------=------------------=
√5-2 √5+2 (√5)²-2²
5 + 4√5 +4
=---------------= 9 +4√5
5 -4
(√5+2)/(√5-2) = (√5+2)/(√5-2) · (√5+2)/(√5+2) = (√5+2)²/(5-4) = (√)²+2·√5·2+2² = 5+4√5+4 =
= 9+4√5
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√5+2 √5+2 (√5)²+2*√5*2 +2²
------- * -------=------------------=
√5-2 √5+2 (√5)²-2²
5 + 4√5 +4
=---------------= 9 +4√5
5 -4
(√5+2)/(√5-2) = (√5+2)/(√5-2) · (√5+2)/(√5+2) = (√5+2)²/(5-4) = (√)²+2·√5·2+2² = 5+4√5+4 =
= 9+4√5