Question

rationalise the deniminator of 7+3 root 5/7-3 root 5​

Answer 1

Step-by-step explanation:

$\frac{7 + 3 \sqrt{5} }{7 - 3 \sqrt{5} } \\ \\ (\frac{7 + 3 \sqrt{5} }{7 - 3 \sqrt{5} })( \frac{7 + 3 \sqrt{5} }{7 + 3 \sqrt{5} }) \\ \\ = \frac{ {(7 + 3 \sqrt{5}) }^{2} }{49 - 45} \\ \\ = \frac{94 + 42 \sqrt{5} }{4} \\ \\ = \frac{47 + 21 \sqrt{5} }{2}$

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