# 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 234372: how do you solve equations containing decimals by dividing 12=1.6m? Click here to see answer by edjones(7569)

 Question 234517: how do you solve this : 1 / square root of 3x squared -5 Click here to see answer by nyc_function(2733)

 Question 235021: A dreaded word problem. This is out of the Algebra textbook 5th edition by Dugopolski. Chapter 8.3 page 550 #85. Here's the problem: Erin was traveling across the desert on her bicycle. Before lunch she traveled 60 miles (mi); after lunch she traveled 46 miles. She put in 1 hour more after lunch than before lunch, but her speed was 4 mph slower than before. What was her speed before lunch and after lunch? The answer is in the back of the book, and it is: Before -5 + the square root of (265) or 11.3 mph; After -9 + the square root of (265) or 7.3 mph We are just completely confused about how to get the solution. We attempted to set it up in a distance=rate*time chart, but are not having any luck with that. Could you please show how to get a solution to this problem? Thank you very much in advance!! Sandy :-) Click here to see answer by josmiceli(9645)

 Question 235060: EEK! I need help in solving this equation. Simplify: a^1/2 . a^2/3 .a^-1/4. I know I need to simplify.Can someone explain the rule for mulitplying exponential expressions? Please Click here to see answer by stanbon(57205)

 Question 235835: please help me:> 1. 6 1/2 2. 4 2/3 3. (5x)2/5 4. 19 -1/2 5. a 1/3 x b 1/3 6. 4 2/3 x a 1/3 7. 16 3/7 8.4 7/3 9. x 3/5 10. 5x 5/4 Click here to see answer by jim_thompson5910(28476)

 Question 236317: I do not understand can you help? Simplify the problem and write answers in exponential form. 3^4 + 2 * 3^4 Click here to see answer by stanbon(57205)

 Question 236387: Multiply: (3 sqrt 3 - 9 sqrt 6) (2 sqrt 3 -+ 6 sqrt 6) I was using the FOIL method, but am not sure I did it correctly. Is it 18 sqrt 6? Click here to see answer by checkley77(12569)

 Question 236495: I am just checking if I am doing this right, I am multiplying radicals (3 sqrt 5 - 9 sqrt 3)(4 sqrt 5 + 12 sqrt 3). I did foil and I came up with the answer -264. Is that right? Thank you Click here to see answer by Earlsdon(6287)
 Question 236495: I am just checking if I am doing this right, I am multiplying radicals (3 sqrt 5 - 9 sqrt 3)(4 sqrt 5 + 12 sqrt 3). I did foil and I came up with the answer -264. Is that right? Thank you Click here to see answer by JimboP1977(308)

 Question 236497: I am trying to rewrite with rational exponents. (7 √4x^6 y)^3 I came up with 4x^6/7 y ^1/7 Did I do that right? Click here to see answer by user_dude2008(1861)

 Question 236868: (1) evaluate to four significant digits using a calculator. 67^3/5 (2)simplyify and express your answer using positive exponents only. m^8m^-14 Click here to see answer by edjones(7569)

 Question 237054: Alright,I need to simplify the equation 6sqrt2/3 + 6sqrt3/2 Do you make an improper fraction? I know the answer is 5sqrt6 but I just can't figure out how to get there. None of the examples in my book show adding or mixed numbers. Thanks, I've tried about 15 times. Click here to see answer by Alan3354(30935)

 Question 237432: how do you solve 7/3 squared times 14/3 squared Click here to see answer by jim_thompson5910(28476)

 Question 237499: how do you simplify the square root of 30x^5y^8 Click here to see answer by checkley77(12569)

 Question 238821: can you give me the steps for simplifying this expression? 5((x^8y^100)^3)-6xy((x^5y^7)^3) Click here to see answer by stanbon(57205)

 Question 239057: I need help with simplifying the radical expression: 54x(9thpower)(y to 11th power)..Thank you very much Click here to see answer by Theo(3458)

 Question 239452: Use the quadratic formula to solve the equation. Simpplify solutions, if possible. 2x^2 + 4x = 5 Click here to see answer by solver91311(16868)

 Question 239455: solve the equation by the method of your choice. simplify solutions, if possible. 3x^2 x 1 ____ - __ = __ 4 4 2 Click here to see answer by solver91311(16868)

 Question 239580: the square root of 3 divide by 4 multiplied by the square root of 4 divided by 5 Click here to see answer by College Student(505)

 Question 239920: Solve: 7√5 - 5√7 - √5 + √7 Click here to see answer by RAY100(1637)

 Question 239927: Solve: ^3√24 ^4√48 ^3√24 - ^3√375 20^3√-81t^3 - 7^3√24t^3 Click here to see answer by vleith(2825)

 Question 240720: solving an equation with a radical 6 outside the radical and x+3 inside to the fourth root = 15 Click here to see answer by solver91311(16868)

 Question 240743: For the problem below, 1 is an extraneous solution and the solution is 2 and 9. True or false? why? square root of 2x+9-square root of x+1=2 Click here to see answer by edjones(7569)

 Question 240945: simplify the square root of 56 divided by the square root of 3 Click here to see answer by edjones(7569)

 Question 241022: How do I add sqrt486 plus 2sqrt384? The answer I have was 531,108 For sqrt49 +sqrt 9 I got an answer of 2,482, but I am not sure if this is right either. I understand this when there is an exponent with it but I am not sure about these. Click here to see answer by rapaljer(4667)

 Question 241146: I have a question about the powers of "i". I am not understanding the facts about how "i" to the second power = blank or "i" to the 6th powers = blank and so fourth. Can you explain this procedure in detail and explain how it is used in the radical equation? Click here to see answer by vleith(2825)

 Question 241284: 1. 2x^2-x=-6 2. Factor c^2+14c+49= 3. (Use radical exponents to simplify) 4 radical x^12 4. Factor. 144c^2 + 648cf +729f^2= 5. Factor. 6x^7-18x^6+42x^5 Click here to see answer by checkley77(12569)