Instructor: Lance P. Schmelz Name:___________________Points Show work for all problemsIntermediate Algebra – Math 151-750RLQuiz 4 (60 Points) Fall 2009 12/3/09Instructor: Lance P. Schmelz Name:___________________Points Show work for all problems 9 (1) Simplify the expression. Assume that all variables are positive a)5√x5b) √y3⋅3√y27.1 pg 508 #115 ans: x 7.1 pg 508 #83 ans:y136c)(x2y6)−127.1 pg 508 #89 ans: y3x3 (2) Simplify the expression. Assume that all variables are positive. √a2bb7.2 pg516 #41 ans: a3 (2) Simplify the radical expression by factoring out the largest perfect nth power. Assume that all variables are positive. 3√27 x2y37.2 pg 516 #95 ans: 33√x2y3 (2) Simplify the expression. Assume that all variables are positive and write your answer in radical notation. 4√rt⋅3√r2t7.2 pg 516 #109 ans: 12√r11t73 (3) If possible, simplify the expression.√2+√18+√327.3 pg 527 #31 ans: 8√24 (4) Multiply and simplify.(√x −7)(√x+8)7.3 pg 528 #87 ans: x + √x-564 (5) Rationalize the denominator.√z√z−37.3 pg 528 #107 ans:z+3√zz−94 (6) Find the domain of f. Write your answer in interval notation.f (x )=√8−5 x7.4 pg 538 #41 ans: (-∞, 85)Points Quiz 4 page 2 Fall 09 12/3/096 (7) Evaluate the function for the given value(s) of the variable. f (x )=3√3−x2, x=-2,3 7.4 pg 537 ans: −1,3√−6 or −3√68 (8) Solve the equation symbolically. Check your results. √x=√x −5+17.5 pg 551 #43 ans: 92 (9) Use i to write the expression. √−127.6 pg 552 #19 ans: 2i√33 (10) Simplify. i58 7.6 pg 552 #53 ans:-14 (11) Write the complex conjugate.a) 5-4i 7.6 pg 552 #61 ans: 5+4ib) -1 7.6 pg 552 #63 ans: -14 (11) Write the expression in standard form2−ii. 7.6 pg 552 #73 ans: