Math 1051, Summer 2007, Worksheet 101. Simplify the following expressions involving radicals:(a)(√45x +√y)(√45x −√y)(b)73√4(23√16 − 83√4)(c)2√5−√3(d)2√x+9√x−32. Solve the following equations (don’t forget to check your answers).:(a)√2n + 3 − 2 = −1(b)√x2+ 16 = 5(c)√3x − 2 −√x + 4 = 0(d)√n − 4 +√n + 4 =√4n − 413. The first IBM PC had a processing speed of 4.77 ∗ 106Hz. The top ofthe line computers today have processing speeds of 3.73 ∗109Hz. How manytimes faster are computers today compared to the original IBM PC?4. The mass of an electron is 9.11 ∗ 10−31kg, while the mass of a proton is1.67 ∗ 10−27. How many times heavier is the proton than the electron?5. Do the following arithmetic on complex numbers:(a) (2 + 3i) + (4 − 6i)(b) (2 + 3i) − (4 − 6i)(c) (2 + 3i)(4 −
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