Question

rationalize the denominator 1) 2 √3+5 √2/2 √3-5 √2
2) 1/5 √7-2​

Answer 1

Step-by-step explanation:

$1) \frac{ \sqrt{3} + 5 \sqrt{2} }{2 \sqrt{3} - 5 \sqrt{2} }$

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

$\frac{6 + 5 \sqrt{6} + 10 \sqrt{6} + 50}{12 - 50}$

$\frac{56 + 15 \sqrt{6} }{( - 38)}$

$2) \frac{1}{5 \sqrt{7} - 2 }$

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

$\frac{5 \sqrt{7} + 2}{ ({5 \sqrt{7}) }^{2} - {2}^{2} }$

$\frac{5 \sqrt{7} - 2}{175 - 4}$

$\frac{5 \sqrt{7} + 2}{174}$

hope this help u✌️....mark as brainliest dear ❤️☺️....