Question

$\ \frac{7 + \sqrt{2} }{7 - \sqrt{2} }$
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Answer 1

Answer:

answer is 16+14√2/12

Step-by-step explanation:

(7+√2)/(7-√2)

rationalise the denominator

(7+√2)/(7-√2) × (7+√2)(7+√2)

(7+√2)²/7²-(√2)²

7²+(√2)²+7(√2)(2) / 14-2

14+2+14√2/12

16+14√2/12

hope it helps you

Thank my answer and Mark as brainliest...

Answer 2

Answer:

heya mate ☺

$\frac{7 + \sqrt{2} }{7 - \sqrt{2} } \\ \\ = \frac{7 + \sqrt{2} }{7 - \sqrt{2} } \times \frac{7 + \sqrt{2} }{7 + \sqrt{2} } \\ \\ = \frac{(7 + \sqrt{2}) ^{2} }{7 ^{2} - ( \sqrt{2} ) ^{2} } \\ \\ = \frac{7 ^{2} + 2 \times 7 \times \sqrt{2} + ( \sqrt{2} ^{2} ) }{49 - 2} \\ \\ = \frac{49 + 14 \sqrt{2} + 2}{47} \\ \\ = \frac{51 + 14 \sqrt{2} }{47}$

hope it helps u mate