Question

2 root 3 minus root 5 by 2 root 3 plus root 5​

Answer 1

Step-by-step explanation:

$\frac{2 \sqrt{3} - 5 }{ 2 \sqrt{3} + 5 } = \frac{2 \sqrt{3} - 5}{2 \sqrt{3} + 5 } \times \frac{2 \sqrt{3} - 5 }{2 \sqrt{3} - 5}$

$\frac{ {(2 \sqrt{3} - 5) }^{2} }{ {(2 \sqrt{3} )}^{2} - {5}^{2} } = \frac{ {(2 \sqrt{3)} }^{2} + {5}^{2} - 10 \sqrt{3} }{(4 \times 3) - 5}$

$= \frac{(4 \times 3) + 25 - 10 \sqrt{3} }{12 - 5}$

$= \frac{37 - 10 \sqrt{3} }{7}$