Results 1 to 3 of 3

Math Help - Simplifing radical expressions

  1. #1
    Member OnMyWayToBeAMathProffesor's Avatar
    Joined
    Sep 2006
    Posts
    157

    Question Simplifing radical expressions

    i need help on simplifying the radical expressions. i know the answers but do not know how to get them. help would be greatly appreciated.

    1)square root(6x^2y^4) times (3x^5y)^1/2

    2.(cube root(42c^4d^17)) / (6cd^11)^1/3

    3.((6x^5y^7)^1/2 times (square root(3x^2y^4)) / square root(2x)

    thank you very much.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Quote Originally Posted by OnMyWayToBeAMathProffesor View Post
    i need help on simplifying the radical expressions. i know the answers but do not know how to get them. help would be greatly appreciated.

    1)square root(6x^2y^4) times (3x^5y)^1/2

    2.(cube root(42c^4d^17)) / (6cd^11)^1/3

    3.((6x^5y^7)^1/2 times (square root(3x^2y^4)) / square root(2x)

    thank you very much.
    1)square root(6x^2y^4) times (3x^5y)^1/2
    If that is
    sqrt[6(x^2)(y^4)]*[3(x^5)y]^1/2
    and you know that sqrt(a) is also a^(1/2), then,
    = [(x)(y^2)sqrt(6)]*[(x^2)sqrt(3xy)]
    = (x^3)(y^2)sqrt(6*3xy)
    = (x^3)(y^2)sqrt(9*2xy)
    = 3(x^3)(y^2)sqrt(2xy) ------------answer.
    or, simplifying further,
    = 3sqrt(2) *(x^3.5)(y^2.5)
    = 3sqrt(2) *x^(7/2) *y^(5/2) ---------answer also.

    ------------------------------------------------------

    2.(cube root(42c^4d^17)) / (6cd^11)^1/3

    You know that cubrt(a) = a^(1/3)...

    = cubrt[(42 c^4 d^17) /(6 c d^11)]
    = cubrt[7 c^3 d^6]
    = cubrt(7) *(c)(d^2) -------------------------answer.

    ---------------------------------------------

    3.((6x^5y^7)^1/2 times (square root(3x^2y^4)) / square root(2x)

    = sqrt(6 x^5 y^7) *sqrt(3 x^2 y^4) / sqrt(2x)
    = sqrt[(6 x^5 y^7)(3 x^2 y^4) / 2x]
    = sqrt[18 x^7 y^11 / 2x]
    = sqrt[9 x^6 y^11]
    = 3(x^3)(y^5)sqrt(y) --------answer
    or
    = 3(x^3)(y^(11/2)) ------answer also.

    -----------------------------------------------------
    We used:
    ---(a^b)^c = a^(b*c)
    ---a^b *c^b = (a*c)^b
    ---a^b / a^c = a^(b-c)
    ---a^b * a^c = a^(b+c)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member OnMyWayToBeAMathProffesor's Avatar
    Joined
    Sep 2006
    Posts
    157

    reply

    thanxs a lot.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. simplifing expressions divide
    Posted in the Math Topics Forum
    Replies: 6
    Last Post: January 31st 2010, 11:15 AM
  2. simplifing expressions
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: January 30th 2010, 01:16 PM
  3. Radical Expressions
    Posted in the Algebra Forum
    Replies: 3
    Last Post: September 17th 2009, 09:42 AM
  4. Rational Expressions and Radical Expressions
    Posted in the Algebra Forum
    Replies: 16
    Last Post: July 9th 2009, 10:29 PM
  5. radical expressions
    Posted in the Algebra Forum
    Replies: 1
    Last Post: August 24th 2007, 06:27 PM

Search Tags


/mathhelpforum @mathhelpforum