Question

√5[√5[√5[√5...their sum

Answer 1

heya here is the Answer

$\sqrt{5 + \sqrt{5 + \sqrt{5 + \sqrt{5} } } } .......$

let
$\sqrt{5 + \sqrt{5 + \sqrt{5} } } ... = x$

squaring both sides

$5 + \sqrt{5 + \sqrt{5} } ... = {x}^{2}$

since √5+√5.... = x , we conclude that

5+ x= x²

=> x² -x -5 = 0

so the Answer is 5

hope it helps you