Provide an appropriate response.Describe some situation in which it would be important to be able to simplify radical expressions.
What will be an ideal response?
Answers will vary. A sample answer might be: There might be a lengthy calculation containing several radical expressions. Simplifying the expressions might help to reduce errors in computing the final result of the calculation.
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Provide an appropriate response.
A conduit ABCD must be made so that ?CBE is 45°. If BE = 5 cm and AK = 16 cm, find the length of the conduit to the nearest thousandth of a centimeter. 
A. 18.071 cm B. 23.071 cm C. 14.536 cm D. 19.660 cm
Find a ? b.a = 4i + 5j, b = 2i + 4j
A. 
B. 28
C. 
D. 12
Solve the problem.A projectile is fired from a cliff 100 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 230 feet per second. The height h of the projectile above the water is given by 
where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?
A. 826.56 ft B. 413.28 ft C. 1339.84 ft D. 513.28 ft
Find the area.
A. 3 cm2
B. 1
cm2
C. 2
cm2
D. 6 cm2