Soru
(sqrt (3)+sqrt (2))/(sqrt (3)-sqrt (2))=
Çözüm
4.6
(261 Oylar)
Umay
Kıdemli · 12 yıl öğretmeni
Uzman doğrulaması
Cevap
To simplify the expression
, we can multiply the numerator and the denominator by the conjugate of the denominator. The conjugate of
is
.So, we multiply both the numerator and the denominator by
:
Next, we simplify the numerator and the denominator separately.The numerator is \((\sqrt{3} + \sqrt{2})^2\):
The denominator is \((\sqrt{3} - \sqrt{2})(\sqrt{3} + \sqrt{2})\):
Now, we put it all together:
Therefore, the simplified form of
is: