Question

rationalize 6 minus root 5 upon 6 + 2 root 5​

Answer 1

HEY MATE YOUR ANSWER IS HERE...

$\frac{6 - \sqrt{5} }{6 + 2 \sqrt{5} }$

NOW BY RATIONALIZING..

$\frac{6 - \sqrt{5} }{6 + 2 \sqrt{5} } \times \frac{6 - 2 \sqrt{5} }{6 - 2 \sqrt{5} }$

NOW BY IDENTITY

(a + b)(a - b) = a²- b²

$\frac{36 - 12 \sqrt{5 } - 6 \sqrt{5 } + 2(5) }{36 - 4(5)}$

$\frac{46 - 18 \sqrt{5} }{16}$

$\frac{2(23 - 9 \sqrt{5}) }{16}$

$\frac{23 - 9 \sqrt{5} }{8}$

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★ KEEP SMILING ☺️✌️ ★