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1) simplify √8/50 2 Answer: 5 2) simplifiical radical form √54 Answer: 3√6 3) simplifical radical form √(45t^12) Answer: 3t6√5 4) simplifical radical form-assume all variables represent positive real numbers √(32t^5 w^12) Answer: 4t2w6 √2𝑡 5) simplify much as possible, assume all variable represnet positive real numbers: 4y²√(8yt²) + t√(50y^5) Answer: 13y2t√2𝑦 6)simplify,assume all variables represent positive real numbers √(2t²u³) √(10tu³) Answer: 2tu3√5𝑡 7)Mult. simplify as much as possible (√5 – 9√10)(5√5 + 6√10) Answer: -195√2 − 515 8) rationalize the denominaroe& simplify √33 ----√55 Answer: √15 5 9)write in simplified radical form by rationalizing the denominator 2√3 + 4 2√3+4 (4+2√3)(5+2√3) √3)(5+2√3) --------------- =−2√3+5 = (5−2 = 32+18√3 13 –2√3 + 5 Answer: 32+18√3 13 10) solve for y, where y is a real number, if more than one solution please give √(y+27) =3 Answer: y=-18 11) solve for u where u is a real number, if more than one soluton please give √(2u + 11) = √(8u +13) Answer: u=-1/3 12) solve for z where z is a real number, if more than one solution please give √(– z +6) = z Answer: 2 13) find the side lengh x, round answer to the nearest tenth. left side 12 right side 10 top x right angle between 12 and 10 Answer: 15.6 14) simplify 253/2 ( just to let you know that 3 is on top of the 2) Answer: 125 15) compute the following ³√–64 Answer: -4 16) write the following i simplified radical form 4√(32) Answer: 16√2 17) write the expression i simplified radical form assume all variable in the expression represent positive real numbers 5√(19t^5w^4) Answer: 5t2w2√19𝑡 18) find the roots of the quadratic equation, if more than one answer give u² + 3u –10 = 0 Answer: -5, 2 19) solve if more than one solution give 4u² = 6u + 4 Answer: -1/2, 2 20) solve the equation if more than one solution please give (x –4)² = 2x² – 12x–5 Answer: -3,7 21) solve x² = 12, where x is a real number, simplify answer as much as possible if more than one solution give Answer: -2√3, 2√3 22) solve ( y+3)² – 63 = 0, where y is a real number, simplify answer as much as possible, if more than one solution give Answer: −3 + 3√7, −3 + 3√7 23) compute the value of the discriminant and give the number of real solutins t the quadratic equation 8x² + 8x + 1 = 0 Answers: Discriminant= 32; 2 real solutions 24)When a ball is thrown, its height in fee h after t seconds is given by the equation h = vt – 16t² where v is the initial upward velocity in feet per second. If v= 19 feet per second, find all values of t for which h = 5 feet. Do not round any intermediate steps, round answer to 2 decimal , if more than one solution please give. Answer: 0.39, 0.79 25) Use the quadratic formula t solve for x if more than one solution please give. 5x² + 9x + 2 = 0 Answer: −9+√41 −9−√41 10 , 10