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A.
\(\frac{7}{3}\) - \(\frac{1}{7√2}\)
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B.
\(\frac{7}{3}\) + \(\frac{1}{7√2}\)
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C.
\(\frac{3}{7}\) - \(\frac{1}{7√2}\)
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D.
\(\frac{3}{7}\) + \(\frac{√2}{7}\)
Correct Answer: Option D
Explanation
Rationalization with conjugate \({3+√2}\)
\(\frac{1}{3-√2}\)
→ \(\frac{1 * [3+√2]}{[3-√2][3+√2]}\)
= \(\frac{3+√2}{9 -3√2 + 3√2 + √4}\)
= \(\frac{3+√2}{9 - 2}\) → \(\frac{3+√2}{7}\)
= \(\frac{3}{7}\) + \(\frac{√2}{7}\)
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