Simplify the expression 1/sqrt(2) + 3/sqrt(8) + 5/sqrt(32).
Note that sqrt 8 = 2 sqrt 2 sqrt 32 = 4 sqrt 2
so you have
(1 + 3/2 + 5/4 ) * 1/sqrt2
= 3 3/4 ( 1/ sqrt2)
= 15 sqrt 2 /8
+36915 
