Given m and n are positive integers such that for some positive integer , x , -LSB- math -RSB- \ sqrt -LCB- x +43 -RCB- = m -LSB- / math -RSB- and -LSB- math -RSB- \ sqrt -LCB- x +16 -RCB- = n -LSB- / math -RSB- , what is the value of the product mn as a positive integer ?
Given m and n are positive integers such that for some positive integer x , -LSB- math -RSB- \ sqrt -LCB- x +43 -RCB- = m -LSB- / math -RSB- and -LSB- math -RSB- \ sqrt -LCB- x +16 -RCB- = n -LSB- / math -RSB- , what is the value of the product mn as a positive integer ?