algebra

Can someone help me with this problem please?

rationalize the denominator and simlify the answer:

5/2 + the square root of 3

Do you mean
5/(2 + sqrt 3) ?
What you wrote could also be interpreted as 2.5 + sqrt 3. You need to be more careful to use parentheses when necessary to avoid confusion.

If you meant 5/(2 + sqrt 3), then multiply numerator and denominator by 2 - sqrt 3.

You will get
5(2 - sqrt3)/(4-3) = 5 (2 - sqrt 3)

There are no parentheses. It looks like this:

5
____
2 + sqrt3

Would the answer then be
10-sqrt3
?

No.
5(2 - sqrt 3) = 10 - 5 sqrt 3

So that is the answer? I forgot to distribute, right?

wouldn't you actually do the 10-5 to get 5, though?

why must you put it in parentheses? why isn't it just 5*2-sqrt3?

While the parentheses are not in the original problem, it's easier if you use them when typing in a problem to make your problem clearer. If you wrote 5 * 2 - sqrt3, by order of operations, you would multiply the 5 and the 2 to get 10, and then subtract sqrt3. Your answer would then be 10-sqrt3, which is incorrect.
By putting in the parentheses to make 5 * (2 - sqrt3), you must distribute to get 10 - 5 * sqrt3, as drwls said.
And you can't do 10 - 5 = 5 here, since the 5 is mutiplied by sqrt3. You would have to subtract the entire unit, 5*sqrt3, from the 10, which can't be done without putting it into a calculator and getting a decimal answer. So the best and most simplified answer here would be the one drwls posted.

Oh, thanks for clearing that for me!

  1. 👍 0
  2. 👎 0
  3. 👁 121
asked by Maria

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    Rationalize V stands for square root 3/V2 3/V2 x V2/V2 = 3V2/V2V2= 3V2/V4 =3V2/2 Answer 3V2/2 6V2/V3 6V2/3 x V3/V3 =6V2V3/V3V3 = 6V6/3= 2V6 My book gives these two examples. In the first problem you multiply the 2 in the

    asked by G on June 19, 2009
  2. Math help plz ASAP.

    Rationalize each denominator. 6 + square root of 2 ____________________________ square root of 3 PLZ HELP..dont kno how to do this question.plz explain..thanks You have (6 + sqrt(2))/sqrt(3) multiply that by sqrt(3)/sqrt(3) to get

    asked by Karla on October 15, 2006
  3. math,correction plz

    Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression. Problem #50 (18+radical(567))/(9) my answer: 2+radical(7) Problem # 52 (-9-radical (108))/(3) My answer: -3-2radical

    asked by jas20 on March 10, 2007
  4. 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.

    asked by Natasha on February 22, 2007
  5. 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

    asked by Amelie on September 13, 2009
  6. math,correction

    problem #50 Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression. (18+radical (567))/(9) My answer: 2+ radical (7) or 2radical (7) Problem # 52 (-9-radical(108))/(3) My

    asked by jasort20 on March 21, 2007
  7. Algebra

    Rationalize denominator, all variables positive real numbers and denominator is not zero. sqrt3/3 sqrt2 - sqrt3 sqrt3(3sqrt2+sqrt3)/18-3 3 sqrt6+3/18-3 3 sqrt 6+3/15 (is this my answer)

    asked by Lori on March 13, 2008
  8. Math

    Rationalize the denominator and write your answer in lowest terms (2 √ 6 + √ 3)/ ( √ 6- √ 3)

    asked by Judy on May 17, 2014
  9. math,correction,plz

    Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression. Problem #54 (6-radical(20))/(2) My answer: 3-radical(5) Problem #50 Find the area of the rectangle shown in the

    asked by jas20 on March 10, 2007
  10. Math(Please check)

    Sorry I forgot a question. 2) rationalize the denominator. 4/sqrt6 My answer is 4sqrt6/ 6 Am I correct?

    asked by Hannah on September 6, 2010

More Similar Questions