Question

rationalise the denominator of

1/3 - 5 root 5

Answer 1

$\huge {\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}$

$\frac{1}{3 - 5 \sqrt{5} } \\ \\ = \frac{1 \times (3 + 5 \sqrt{5}) }{(3 - 5 \sqrt{5}) \times (3 + 5 \sqrt{5}) } \\ \\ = \frac{3 + 5 \sqrt{5} }{ {3}^{2} - {(5 \sqrt{5} )}^{2} } \\ \\ = \frac{3 + 5 \sqrt{5} }{9 - 25} \\ \\ = \frac{3 + 5 \sqrt{5} }{ - 16} \\ \\ = - \frac{3 + 5 \sqrt{5} }{16}$

Hope its helpful ❤

Answer 2

Answer:

1/3-5✓5

1*(3+5✓5)/(3-5✓5)*(3+5✓5)

3+5✓5/3square-(5root5)

3+5✓5/9-25

answer=3+5✓5/-16

*=multiple.

/=divide

Hope It helps.

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