# 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

## Tutors Answer Your Questions about Radicals (FREE)

 Question 338767: simplify by factoring: 4th root of √96x^8y^10 Click here to see answer by jim_thompson5910(28476)

 Question 338768: simplify by factoring: 5th root of √288x^17y^15 Click here to see answer by jim_thompson5910(28476)

 Question 339040: Prove that the square root of any perfect square number is equal to positive (+) and negative (-). Click here to see answer by Alan3354(30935)

 Question 339111: A baseball diamond is actually a square, 90 feet on each side. What is the distance from third base to first base Click here to see answer by Earlsdon(6287)

 Question 339277: Solve and check. √(27-3x)=x-3 Click here to see answer by stanbon(57203)

 Question 339289: i have done over 50 problems and i have 4 that i do not understand at ALL. here is one of the problems and i hope u will help me with it. please help me simplify it. Click here to see answer by Edwin McCravy(8879)

 Question 339263: 5x^2 + 21x + 4 over x^2 - 16 divided by 5x + 1 over x-2 these are fractions perform the indicated operations and simplify your answer Click here to see answer by jrfrunner(365)

 Question 339331: Rewrite with rational exponents Click here to see answer by mananth(12270)

 Question 339403: Please help by rewriting with rational exponents: (√5mn) to the power of 5 Click here to see answer by stanbon(57203)

 Question 339405: Please solve using the laws of exponents to simplify: 6 to the power of 7/6 over 6 to the power of 5/6 Click here to see answer by stanbon(57203)
 Question 339405: Please solve using the laws of exponents to simplify: 6 to the power of 7/6 over 6 to the power of 5/6 Click here to see answer by Edwin McCravy(8879)

 Question 339402: Please help by subtracting and then collecting like radical terms if possible: 4³√5-2³√5 Click here to see answer by stanbon(57203)

 Question 339869: Can you please show me the correct graph for the following equation: y=log_4(x+2) thank u Click here to see answer by solver91311(16868)

 Question 339867: i do not understand how to simplify this problem: sqrt(75x^3)*sqrt(5x^3) please and thank u Click here to see answer by jrfrunner(365)

 Question 339868: i have tried to simplify this problem and each time i come up with a different answer. please show me the steps how to do it. thank you. 2sqrt(48)-3sqrt(27) Click here to see answer by jrfrunner(365)

 Question 339930: I'm asked to factor the polynomial: x^4 + x^2 + 1 but I can't see how it fits into one of the patterns. If I try grouping to pull x^2 from the first two, I get: x^2(x^2 + 1) + 1 but that's not factoring, is it? Click here to see answer by jim_thompson5910(28476)

 Question 340013: Please help by multiplying: (6+√7)(6-√7) Click here to see answer by solver91311(16868)

 Question 339892: Solve The square root of x+1, Under the square root of 3=the square root of 3x-5 Click here to see answer by edjones(7569)

 Question 340008: Please help solve the following: ³√3 * ³√9 Click here to see answer by edjones(7569)

 Question 340011: Please help by using rational exponents to simplify: ³√x^15 Click here to see answer by edjones(7569)

 Question 340427: What is the simplified radical form of 3087? I factored this number by three two times but I am stuck on 343 becuase I don't know what numbers it is divisible by. 3087 3 1029 3 343 Click here to see answer by jim_thompson5910(28476)

 Question 340456: √432 in lowest radical form Click here to see answer by jim_thompson5910(28476)

 Question 340737: How do I solve this √36? Click here to see answer by jim_thompson5910(28476)

 Question 340708: is 1/3 greater or less than the square root of 1.25 Click here to see answer by Johnny Depp(1)

 Question 341224: (sqrt x+7)-2=(sqrt x-9) Click here to see answer by edjones(7569)

 Question 341334: Hello! I have this problem and not quite sure if I did it right. Write the expression in lowest terms. Assume that all variables represent positive real numbers: 54+36√21 -------- 45 Will this equal: 6+4√21 ------ 5 or can √21 be factored more with √3 and √7? Thank you! Click here to see answer by mananth(12270)

 Question 341000: If I have a number example: 243 with an exponent that's the fraction 5/3, how do I work that? I know how exponents work but not when they are fractions. Thank you Click here to see answer by Fombitz(13828)

 Question 341816: sqrt 5 +4 (not under ratical) divided by sqrt 2 +3sqrt7 numerator needs to be rationalized Click here to see answer by edjones(7569)

 Question 341839: the cubed root of (2x+3) + 5= 2. I was told the answer is -15, but can't figure out how to get there. This is what I have tried. (2x+3)^3+5^3=2^3. Put both sides to the 3rd power to undo the cubed root. 8x^3+125=8. Simplified. 8x^3= -117 Subtract 125 from both sides. x^3= -117/8 Divide both sides by 8. x^3= -14.625 x= cubed root of (-14.625) x= i(2.445) As you can tell I'm doing something totally wrong because I am WAY off. Click here to see answer by Fombitz(13828)

 Question 342182: What is the radical form of 8/3/5 (8 and 3 fifths) I was told that it is 24/5 but I can't understand the steps to the answer Click here to see answer by Alan3354(30935)

 Question 342399: How do i solve: h(x)=3x^2+5 if h(4b)? Click here to see answer by jim_thompson5910(28476)

 Question 342424: how do i find the domain of: f(x) = x+[3/(5-x)] Click here to see answer by Fombitz(13828)

 Question 342867: If √(4x + 3) = 3√(x- 8), then what is the value of x? Click here to see answer by edjones(7569)
 Question 342867: If √(4x + 3) = 3√(x- 8), then what is the value of x? Click here to see answer by Fombitz(13828)

 Question 342903: The question is the CUBE ROOT of this : 22(x+1)^2 The answer in the back of my book is 2(x+1) THE CUBE ROOT 9(X+1). PLEASE HELP. Click here to see answer by Fombitz(13828)

 Question 342906: The question is THE SQUARE ROOT of (128a^2b^4) DIVIDED BY THE SQUARE ROOT of (16ab). I know you have to multiply by the conjugate. After that, I get lost. Please help. Click here to see answer by Fombitz(13828)

 Question 342910: The question is 2 times the square root of 32 PLUS 3 times the square root of 8 MINUS 4 times the square root of 18. Please help. Click here to see answer by nyc_function(2733)

 Question 342898: elana begins with a large square sheet that is 169 square inches. how many squares can she cut out the paper that are 4 inches on each side? Click here to see answer by nyc_function(2733)

 Question 342895: for college wrestling competitions the ncaa requires that the wrestling mat be a square with an area of 1764 square feet. what is the length of each side on the mat? Click here to see answer by kcanil08(11)

 Question 342970: Find the third root of 4/9x^2 Click here to see answer by Fombitz(13828)

 Question 342902: Simplify and assume that the variables can represent any real number. the question is the SQUARE ROOT of this: (x^2+16x+64). The answer given in the back of my book is the ABSOLUTE VALUE of (x+8). I guess I'm missing a step. Please help. Click here to see answer by jsmallt9(3296)

 Question 343280: Graph f(x) = (x - 6)^5 -5 Click here to see answer by Fombitz(13828)

 Question 343346: simplify complex rational fractions (a/b+c/d)/e (3*x^-2*y-2*a*b^-1)/x ((x+2)*1/2(x+1)^-1/2(x+1)^1/2)/(x+2)^2 ((3*x-1)^1/2*2-(2*x+3)*1/2*(3*x-1)^-1/2)/3*x-1 ((x+2)^1/3*3-(3*x-1)*1/3(x+2)^-2/3)/(x+2)^2/3 Click here to see answer by haileytucki(390)

 Question 343375: Solving Radical Equations: Solve the following equation: (The square root is over the 8-x) √8-x + 6 = 4 I tried but it doesnt work is it no real solution? 8-x=4-6 8-x=-2 -8 -8 -x=-10 when you plug it in it doesnt work help me lease what am I doing wrong. Click here to see answer by stanbon(57203)

 Question 343413: If √(x+5)- 3 = 1, then what is the value of x? Click here to see answer by Fombitz(13828)

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