Algebra

posted by Becca

Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I typed it out where it would be and the number before or after.

1. -4/Square root 20
2. Square root of 125/12n^3

3. Square root 10-3 /Square root 3 +Square root 2

4. 7+ square root 6 /3-3 square root 2

  1. Steve

    -4/√20 = -4√20/20 = -1/5 √20 = -2/5 √5

    √(125/n^3) = √(25/n^2) √(5/n) = 5/n √(5/n)
    = 5/n √(5n/n^2) = 5/n^2 √(5n)

    (√10-3)/(√3+√2)
    = (√10-3)(√3-√2) / (3-2)
    = √30-3√3-√20+3√2
    = 3√2-3√3-2√5+√30

    (7+√6)/(3-√2)
    = (7+√6)(3+√2) / (9-2)
    = (21+3√6+7√2+√12)/7
    = 1/7 (21 + 3√6 + 7√2 + 2√3)

  2. corrine

    8*/81-6/16



    please help

  3. Nocholas

    1/3 + 3/x 1/9 - 9/x square

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Algebra

    Rationalize the denominator of each expression. Assume that all variables are positive. I understand how to divide them, but don't exactly know how to rationalize them. ã3xy^2/ã5xy^3 Thanks in advance.
  2. Math

    Just need some help... Directions: Multiply or raise to the power as indicated... Then simplify the result. Assume all variables represent positive numbers. 1. 5(square root of 6) times two-thirds(square root of 15)= 3 one-third (square …
  3. Algebra 2

    Simplify Each Expression. Rationalize all denominators. Assume that all variables are positive. 3 times the square root of 11x^3y (the three is an exponet) over -2 times the square root of 12x^4y (the 4 is an exponet)
  4. Algebra

    I need to rationalize the denominator of 2/3 square root of five, (three being the index). My book suggests you should multiply this by 3 square root of 5^2 over 3 square root of 5^2. I thought the numbers that you rationalize the …
  5. Math

    Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. The square root of 3y^4 to the third root divided by the square root of 15x^4 to the third root. Here is what I have so far: I multiplied. …
  6. algebra

    Help Fast PLEASE!! check for corrections on my problems 1.Rewrte the following in simplified radical form, Assume all variables represents positive real numbers: square root 48y^10= 4y^5 square root 3 2.Rationalize the denomintor and …
  7. College Algebra

    I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root …
  8. College Algebra help please

    I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root …
  9. College Algebra

    I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root …
  10. Math

    When working out some of the diagonal lengths involved in calculating the size of individual plots, Bert creates the following expression: fraction numerator 10 plus 15 square root of 5 over denominator square root of 5 minus 2 end …

More Similar Questions