Question

rationalise the denomirator of 3- root 5/3+ root 5​

Answer 1

Answer:

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Answer 2

Answer:

given in explanation section

Step-by-step explanation:

$\green{rationalizing}$

$\frac{3 - \sqrt{5} }{3 + \sqrt{5} }$

$\frac{3 - \sqrt{5} }{3 + \sqrt{5} } \times \frac{3 - \sqrt{5} }{3 - \sqrt{5} }$

using

$(a + b)(a - b) = a {}^{2} - b {}^{2}$

$\frac{(3 - \sqrt{5})(3 - \sqrt{5} ) }{(3) {}^{2} - ( \sqrt{5}) {}^{2} }$

$\frac{9 - 3\sqrt{5} - 3 \sqrt{5} + 5}{9 - 5}$

$\frac{14 - 6 \sqrt{5} }{4}$

$\frac{2(7 - 3 \sqrt{5} )}{4}$

$\frac{7 + 3 \sqrt{5} }{2}$

Hence

$\blue{Rationalized}$