bentuk pecahan 2√2 jika dirasionalkan penyebutnya adalah ⁻⁻⁻⁻⁻⁻⁻ 2√3-√10

[tex] \frac{2 \sqrt{2} }{2 \sqrt{3} - \sqrt{10} } \\ = \frac{2 \sqrt{2} }{2 \sqrt{3} - \sqrt{10} } \times \frac{2 \sqrt{3} + \sqrt{10} }{2 \sqrt{3} + \sqrt{10}} \\ = \frac{2 \sqrt{2} (2 \sqrt{3} + \sqrt{10} )}{4 \times 3 - 10} \\ = \frac{2 \sqrt{2} (2 \sqrt{3} + \sqrt{10} )}{12 - 10} \\ = \frac{2 \sqrt{2} (2 \sqrt{3} + \sqrt{10} )}{2} \\ = \sqrt{2} (2 \sqrt{3} + \sqrt{10} ) \\ = 2 \sqrt{6} + \sqrt{20} \\ = 2 \sqrt{6} + \sqrt{2{}^{2} \times 5} \\ = 2 \sqrt{6} + 2 \sqrt{5} \\ [/tex]