Question

Hey!!!
Explain how this number is rational
No spam please
Wrong answer will be deleted
$\frac{2 \sqrt{13} }{3 \sqrt{52} - 4 \sqrt{117} }$
Oly answer if you know

Answer 1

Hey!!!

That's easy let's do it

we have
2√13/(3√52 - 4√117)

=> 2√13 / ( 3√13 x 4 - 4√ 13 x 9)

=> 2√13 / (6√13 - 12√13)

=> 2√13 / -6√13

Cancelling all

=> -1 / 3

Thus it's rational

Hope this helps