Question

Racionalize a fração 2
sobre 2√2−1​

Answer 1

[tex] \frac{2}{2 \sqrt{2} - 1 } = \frac{2}{2 \sqrt{2} - 1} \times \frac{2 \sqrt{2} + 1}{2 \sqrt{2} + 1 } = \\ \\ = \frac{4 \sqrt{2} +2}{{(2 \sqrt{2})}^{2} - {1}^{2}} = \frac{4 \sqrt{2} +2}{4 \times 2 - 1} = \frac{4 \sqrt{2} +2}{7} [tex]