How do I prove -LRB- without computer -RRB- the inequality : -LSB- math -RSB- \ sqrt -LSB- 9 -RSB- -LCB- 502 -RCB- + \ sqrt -LSB- 502 -RSB- 9 > 3 -LSB- / math -RSB- ?
Is there any idea to prove 9 ^ -LCB- 1/502 -RCB- +502 ^ -LCB- 1/9 -RCB- > 3 ?