Question

Rationalize the denominator of 5/(7 - 3 √2)​

Answer 1

Step-by-step explanation:

$\frac{5}{7 - 3 \sqrt{2} } \times \frac{7 + 3 \sqrt{2} }{7 + 3 \sqrt{2} } \\ \\ \frac{5(7 + 3 \sqrt{2}) }{ {7}^{2} - {3 \sqrt{2} }^{2} } \\ \\ \frac{35 + 15 \sqrt{2} }{49 - 9 \times 2} \\ \\ \frac{35 + 15 \sqrt{2} }{49 - 18} \\ \\ \frac{35 + 15 \sqrt{2} }{31}$

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