Please help me with the questions below, I don't know how to do them. Please kindly show ALL WORK and make it clear so I understand, please I really need this.

Q1.

MATH 201 Show all work for full marks. 1) Convert the following mixed radicals to entire radicals. '1 _4 j ,'._J \f3) Fully simplify the following, showing all work. Leave all answers in exact form. a) 31/18-41/12-2V/50 +5\\/27 b) V160' + V304 + 20\\/240-5V540-3V12 +2V3 c) V18 2V/3-5V2 d) 3V6-4V/3 7V2ell e) V20c4) Highway engineers design on-ramps and off-ramps to be safe and efficient. The relation describing the maximum speed at which a car can safely travel around a flat curve without skidding is $ =2v6.86/ + where S represents the maximum speed, in metres per second, and R represents the radius of the curve, in metres. What is the radius of the curve where the maximum speed is 30 km/h? Round to the nearest tenth. *Hint: watch your speed units! :)'3} For The following radical equation: state the restrictions: solve eaeh equation and verify. a} 41.5.r+l5=3 {5} Ellis backyard is in the shape of a square with an area of 192 1112. There is a patio in the corner that is also a square that has an area of 3'5 111:. To the right of the patio is a garden and the rest of the backyard is lawn. (Note: the diagram is NOT to scale} a} Determine the exact perimeter of the garden. lawn 1]} Determine the exact area of the lawn