# Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Question 161395: i am asked to multiply (√[3] + 4√[5])(2√[3] – √[5]) Click here to see answer by checkley77(12569)

 Question 161394: i am asked to divide x2 – 3x + 2/8x – 8 /x2 – 4/5x + 10 Click here to see answer by checkley77(12569)

 Question 161578: I am having a problem with an equation but cannot figure out how to find it. The problem is: 30^2 = ((s+7)(1.5))^2 + (2s)^2 The answer for "s" is 9. What am I doing wrong? (30)(30) = ((1.5s)+(1.5)(7))^2 + (2s)(2s) 900 = (1.5s + 10.5)^2 + 4s^2 900 = ((1.5s)(1.5s)+ (10.5)(10.5)) + 4s^2 900 = 2.25s^2 + 110.25 + 4s^2 900 - 110.25 = 2.25s^2 +110.25-110.25 + 4s^2 789.75 = 6.25s^2 789.75/6.25 = 6.25s^2/6.25 126.36 = s^2 sqrt 126.36 = s ---sqrt 126.36 does not equal 9--- Click here to see answer by Alan3354(31518)

 Question 161621: I am simply asked to write an expression in "exponential form". I cannot find anything in my book that helps me although I am sure it's there. The problem is: cubed root of 5x to the 5th power. Click here to see answer by gonzo(654)

 Question 161677: 10- Click here to see answer by ankor@dixie-net.com(15746)
 Question 161677: 10- Click here to see answer by jim_thompson5910(28715)

 Question 161678: i don't understand how to do this problem. 4(2+2) Click here to see answer by jim_thompson5910(28715)

 Question 161814: This isn't a very complicated radical question, but I don't understand it in any case. √5 * √5 Is the answer just 5? or √5? √5 * √10 Does this equal 3√5? I realize that isnt one question but they're very short. Thank you for your help. Click here to see answer by Fombitz(13828)

 Question 161835: I have a problem in the form of W=Cr^-2 and I need to solve for r. I am lost at this type of problem and could use some assistance. Click here to see answer by checkley77(12569)

 Question 162013: This is from a worksheet. I have 2 questions that i'm not sure on. Direction say simplify. Assume that no denominator equals 0. 1. sq. root 16x^2y^4 2. sq root 12-sq root 18+3sq root 50+sq root 75. Sorry i don't have a sq. root sign on my computer Please. help Thanks Click here to see answer by jim_thompson5910(28715)

 Question 162051: perform the multiplications and simplify. assume all variables represent positive numbers. square root 2 parenthesis 2 times square root of 10 plus square root of 40 parenthesis? first i factores square root 2 into the parenthesis, then simplified it and got an answer of 4 root 20 is that right? Click here to see answer by schrammbledeggs(41)

 Question 162103: 8=1/sqrt x Click here to see answer by Alan3354(31518)
 Question 162103: 8=1/sqrt x Click here to see answer by tutor_paul(490)

 Question 162121: sqrt y-5 + sqrt y = 5 Click here to see answer by edjones(7569)

 Question 162354: sqrt(x+2) + sqrt(3x+4) = 2 Click here to see answer by gonzo(654)

 Question 162768: How will I go about simplifing these problem? 1) 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)] 2) 3/[SQRT(5) - 2] And how can I solve this problem? 3) Click here to see answer by edjones(7569)

 Question 162831: Please help me solve the following equation: (2x-5)(x+8)=0 This is as far as I have gotten: 2x^2+16x-5x-40=0 2x^2+11x-40=0 2x^2+11x=40 Click here to see answer by nerdybill(7003)

 Question 162835: Please help me solve the following question: The square root of (3x+4)+ 5 = 9 Click here to see answer by jim_thompson5910(28715)

 Question 162836: Please help!!! I am trying to solve this problem and I'm stuck. the square root of (x+6) + 1 = the square root of (2x-11) Thanks in Advance! Click here to see answer by joecbaseball(37)

 Question 162865: Simplify (3sqrt5 - 2sqrt3)(sqrt5 - 3sqrt3) Using the FOIL method: I got 3sqrt25 - 9sqrt15 - 2sqrt15 +6sqrt9 simplified to -11sqrt15 Is this correct any help appreciated Click here to see answer by checkley77(12569)

 Question 163137: Hi, this is the problem I was told to do: [SQRT(2x + 2)] - [SQRT(x - 3)] = 2 or √(2x+2) - √(x-3) = 2 I've been told to FOIL this problem, but I don't understand how to FOIL it if its subtracting and not multiplying. What I do know is that the answer is equal to 7. Thanks in advance. Click here to see answer by jim_thompson5910(28715)

 Question 163465: please simplify this radical expression: 2√6 ÷ ¼√72 Click here to see answer by nerdybill(7003)

 Question 163508: Here are a few problems that I am not sure if I got them right. Thanks. Paul 1) problem: square root of 3x + 9, - 12 = 0 square root of 3x + 9 = 12 (square root of 3x + 9)^2 = (12)^2 3x + 9 = 144 -9 -9 3x = 135 3x/3 = 135/3 answer: x = 45 2) problem: square root of 3x, - square root of 3x-5, = 1 1 - , square root of 3x = square root of 3x-5 (1 - square root of 3x)^2 = (square root of 3x-5)^2 1 - 2 square root of 3x - 3x = -3x-5 6 = 2 square root of 3x (4)^2 = (square root of 3x)^2 16/3 = 3x/3 answer: x = 16/3 (I think this answer is 3 but not sure on how to get it) 3) problem: ^3 square root of x - 2, = 3 (^3 square root of x -2 ) = (3)^3 x - 2 = 27 answer: x = 29 Click here to see answer by ankor@dixie-net.com(15746)

 Question 163810: Simplify √ (32x5y2) that is sqrt (32x5y2) Click here to see answer by vleith(2825)

 Question 163811: The Schwarzschild radius describes the critical value to which the radius of a massive body must be reduced for it to become a black hole. R = 2 G M / c 2 where G = gravitational constant 6.7x10 -11 M= mass of the object C = speed of light 3x10 8 The sun has M = 2x10 30 . What is the Schwarzschild radius for the sun? [Note its true radius is 700,000.] Click here to see answer by vleith(2825)

 Question 163751: I need help with this question. I am having a hard time knowing even where to start... Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth) Thank You Click here to see answer by ankor@dixie-net.com(15746)

 Question 163925: How do you answer the following questions? Given f(x)= x – 3 and g(x)=square root of (x-2)find the domain of the quotient function f/g. Click here to see answer by stanbon(57967)

 Question 164000: Time to swing. The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2= (3.14)^2(L) If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing? Click here to see answer by stanbon(57967)

 Question 164137: sqrt(6+1)(8sqrt(6+1) Click here to see answer by checkley77(12569)

 Question 164261: Simplify the square root of X over the the square route of X + the square root of Y Click here to see answer by padmameesala(42)

 Question 164387: I need help with this question as soon as possible. I have been working on it and cannot figure it out. The weight of an object follows this equation: where C is the constant, r is the distance from the center of the earth (3963 miles). Using the value of C = 1570536900, determine how much an object would weigh in Death Valley (282 feet below sea level). How much would the object weigh at the top of Mt. McKinley (20,320 feet above sea level). Thank you! Click here to see answer by josmiceli(9817)

 Question 164386: I need help with this question as soon as possible. I have been working on it and cannot figure it out. The weight of an object follows this equation: where C is the constant, r is the distance from the center of the earth (3963 miles). Using the value of C = 1570536900, determine how much an object would weigh in Death Valley (282 feet below sea level). Thank you! Click here to see answer by ankor@dixie-net.com(15746)

 Question 164396: \sqrt{x}+ 4 = 2\sqrt{x+5} solve and check Click here to see answer by Fombitz(13828)

 Question 164460: SQRT 108 Click here to see answer by checkley77(12569)

 Question 164463: 4 SQRT 45 - 7 SQRT 405 Click here to see answer by checkley77(12569)

 Question 164462: 4 SQRT 98/25 Click here to see answer by checkley77(12569)

 Question 164461: Click here to see answer by Edwin McCravy(8999)