Simply each expression by applying distributive property and then multiplication property of square roots.(show each step) 1. - square root of 5 (2 - square root of 5 ) 2. square root of 2 (8 - square root of 4 ) 3. - square root of 2 (-5 + square root of 3)

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters