Let us consider:

X= 99√(99!), and:

Y= 100√(100!)

Determine, without direct evaluation and using analytic/semi-analytic (simple calculator + p&p) techniques, which of these is greater:

• (i) X or Y

• (ii) X/99 or Y/100

*** Computer programs/excel solver/advanced calculators/online solvers can be used only for purposes of verification.