Rationalize; \(\frac{1}{\sqrt{2 + 1}}\)
FURTHER MATHEMATICS
WAEC 2019
Rationalize; \(\frac{1}{\sqrt{2 + 1}}\)
- A. \(\sqrt{2}\) - 1
- B. 1 - \(\sqrt{2}\)
- C. \(\frac{\sqrt{2} - 1}{2}\)
- D. \(\frac{1 - \sqrt{2}}{2}\)
Correct Answer: A. \(\sqrt{2}\) - 1
Explanation
\(\frac{1}{\sqrt{2} + 1}\) x \(\frac{\sqrt{2} - 1}{\sqrt{2} - 1}\)
= \(\frac{\sqrt{2} - 1}{2 - 1}\)
= \(\frac{\sqrt{2} - 1}{1} = \sqrt{2} - 1\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *