radicals

  1. P

    Radicals and absolute value

    Hey. We all know that sqrt (x^2) = |x|. But what about sqrt(x^4), x^(2/4) and so.. are we required to use absolute values here? And why?
  2. P

    Proving certain radicals are irrational

    Prove \sqrt{2} + \sqrt{3} is an irrational number. My attempt to solve this problem is to equate \sqrt{2} + \sqrt{3} to \frac{a}{b} and show that a or b cannot be integers. I don't know how to do that.
  3. G

    Simplifying Radicals

    could someone explain this to me or send me to a video that would explain it? thanks
  4. J

    An issue I've noticed with algebra lately

    Lately, I've been noticing a lot of contradictions, between two or more rules in algebra. One that comes to mind is the fact that radicals are considered to be a type of grouping symbol, but then the lesson tells you to simplify a radical expression and (indirectly) disregard the previously...
  5. A

    Radicals

    Need help ! Thank you very much !
  6. J

    Exponents and Radicals

    Can someone help explain how to simplify this problem? (3xy^1/2)(4x^2y)^-2 ___________________ xy^3/2 note: the answer is xy^2
  7. R

    Why does the order of these radicals matter?

    I'm reviewing slews of math for an upcoming college placement exam, and there's a practice question that demands I rationalize the denominator. The statement is thus: Rationalize the denominator. 7 divided by (square root of 6 plus square root of 13) \frac {7}{\sqrt{6} + \sqrt{13}} I guessed...
  8. O

    Domains and Radicals

    Hello everyone, So, I encountered a very strange trend that I am having trouble understanding. I am given f(x)= √(x-2) and g(x)=√(x+5) and am told to find f(g). g(f), f(f), g(g). In f(g), √(√(x+5) - 2), after setting the equation to zero, squaring both sides, I get x=-1 and the...
  9. D

    About radicals

    Hello! How do \sqrt{4}?
  10. K

    Evaluating expression with Radicals

    Hello, I believe I've completed a problem but I'm not sure how the properties of nth roots applies to my result. I wasn't sure how to type out the radical sign so I scanned my answer. The placement of the negatives is messing me up. The fact that the nth root is 5 (odd) means the resulting...
  11. T

    Find intercept with radicals

    I'm getting ready for a test and don't want any surprises. I need to find any intercepts. I could a refresher. y = x ?16 -x^2
  12. K

    I need help with radicals!!

    Hello everyone :roll: I'm taking college algebra and I need help in this rationalize the denominator 6/(2??7)
  13. G

    Simplifying radicals in denominator

    I get the general concept of simplifying radicals in denominator or rationalizing them, but some problems I'm a little iffy on. I just need someone to check if my answers are correct. I'm not sure if I am doing these problems the correct way. 1. (7?72)/?40 Answer I got: (21?5)/5 2...
  14. E

    Problem with radicals in the denominator

    Hi, I am an adult self-learner and I am having a problem with the solution to an exercise in my textbook. Perhaps you can help me. I have this problem to solve: \[\frac{{a - b}}{{a\sqrt b - b\sqrt a }}\] And I am following the following steps: (1) \[\frac{{a - b}}{{a\sqrt b - b\sqrt a }}...
  15. D

    An equation with radicals and a real parameter

    Hello! To solve the equation \sqrt[3]{x+1}-\sqrt{x^2-1}=a where a\in R. Thank You!
  16. D

    Another equation with radicals

    Hello! To solve the equation \sqrt[3]{x+1}+\sqrt2=0. Thank You!
  17. D

    An equation with radicals

    Hello! To solve the equation \sqrt{x}-sqrt{y}=1 where x,y\in N*. Thank You!
  18. D

    adding and subtracting radicals ?

    3 sqrt{7} - 2 sqrt{5} 7 sqrt{11} + 5 sqrt{13} 7 - sqrt 3 sqrt{5} i think they can't be simplified more.. please explain.
  19. E

    Equation with 3 radicals

    Hi I'm having an issue when it comes to solving this equation. ?(x + 2) + ?(x - 3) = ?(3x - 4) I start by squaring, but I don't really know how to multiply 2 radical binomials, ?(x +2) * ?(x - 3) and I can't find any information about it.
  20. S

    expressing mixed and entire radicals!?

    please explain..! 1. Express the following entire radicals as mixed radicals 1) (sqrt).45 2) (sqrt)450 3 (sqrt)96x(to the power of 3) 4) (sqrt)180x(to the power of 4) express the following mixed radicals to entire radicals 1) 12 (sqrt) 3 2) 6(to the power of 3) (sqrt)2x 3)...