Question

Rationalize the denominator of 3+root2/3-ro
ot2

Answer 1

Answer:

Step-by-step explanation:

(11+6√2)/ 7

Answer 2

$= \frac{3 + \sqrt{2} }{3 - \sqrt{2} } \\ = \frac{3 + \sqrt{2} }{3 - \sqrt{2} } \times \frac{3 + \sqrt{2} }{3 + \sqrt{2} } \\ = \frac{ {(3 + \sqrt{2}) }^{2} }{9 - 2} \\ = \frac{9 + 6 \sqrt{2} + 2}{7} \\ = \frac{11 + 6 \sqrt{2} }{7}$

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