Question

Rationalize the denominator 310/5√6+√5. plz show the method i can't get it : /​

Answer 1

Answer:

The answer is 310√6 - 62√5 / 29 .

Step-by-step explanation:

310/5√6+√5 x 5√6-√5/5√6-√5

=> 1550√6 - 310√5 / 150 - 5

=> 5 ( 310√6 - 62√5 ) / 145

=> 310√6 - 62√5 / 29

Answer 2

Answer:

$\huge\mathfrak\blue{Method \: used:-}$

Rationalise the denominator

$\huge\mathfrak\blue{Solution:-}$

$\mathtt{ = \frac{310}{5 \sqrt{6} + \sqrt{5} } \times \frac{5 \sqrt{6} - \sqrt{5} }{5 \sqrt{6} - \sqrt{5} } }$

$\mathtt{ = \frac{310(5 \sqrt{6 } + \sqrt{5} }{ {( 5\sqrt{6}) }^{2} + { (\sqrt{5}) }^{2} } }$

$\mathtt{ = \frac{310(5 \sqrt{6} + \sqrt{5}) }{125 - 5} }$

$= \mathtt { \frac{13(5 \sqrt{6} + \sqrt{5)} }{5} }$

Step-by-step explanation:

I hope this helps you.