Question

3+sqrt(5)/6+sqrt(5) Rationalize the denominator and simplify

Answer 1

Answer:

(13 - 3√5)/31

Step-by-step explanation:

$\frac{3+\sqrt{5} }{6+\sqrt{5} } \\\\\frac{3+\sqrt{5} }{6+\sqrt{5} } *\frac{6-\sqrt{5}}{6-\sqrt{5}} \\\\\frac{(3+\sqrt{5} )(6-\sqrt{5} )}{(6)^{2}-(\sqrt{5} )^{2} } \\\\\frac{18-3\sqrt{5}+6\sqrt{5}-5 }{36-5} \\\\\frac{13-3\sqrt{5} }{31}$

Answer 2

Answer:

3+

√5

6

+√5

=3+

7

6

√5(Decimal: 5.608746)

Step-by-step explanation:

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