Question

Find the rationalizing factor for the denominator of the expression 1/7+√2

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Answer 1

Answer:

$\frac{1}{7 + \sqrt{2} } \\ \frac{1}{7 + \sqrt{2} } \times \frac{(7 - \sqrt{2}) }{(7 - \sqrt{2} } ) \\ = \frac{7 - \sqrt{2} }{( {7}^{2} - {( \sqrt{2} )}^{2} } \\ = \frac{7 - \sqrt{2} }{49 - 2} \\ = \frac{7 - \sqrt{2} }{47}$