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Rationalize x+4−2x

​−2​. Please explain each step; I really want to understand this. Thank you so much!
(A) −2x+4+2x+4
​+2−2​
(B) x+4+2xxx+4
​+2​
(C) x+4+2x+4−2x+4
​−2x+4
​+2​
(D) x+4−2x+4+2x+4
​+2x+4
​−2​

1 Answer

3 votes

Final answer:

The question contains formatting issues, but a general explanation for rationalizing expressions is provided. Rationalization involves multiplying by the conjugate and simplifying to remove radicals from the denominator.

Step-by-step explanation:

The question seems to have a formatting issue making it unclear, but it appears to ask how to rationalize an expression involving square roots or rational expressions. Rationalization typically involves removing a radical from the denominator of a fraction or a binomial denominator that involves radicals. Here's a generic step-by-step explanation of rationalizing a binomial denominator:

  • Identify the denominator that contains the radical.
  • Multiply the numerator and denominator by the conjugate of the denominator. The conjugate is similar to the denominator but with the opposite sign between terms.
  • Simplify the expression by expanding the product in the numerator and the product of the conjugates in the denominator. Doing this typically removes the radical in the denominator.
  • Combine like terms and simplify further if possible.

Without clearer specifics from the original question, this explanation provides a general method that should help students rationalize expressions they encounter.

User Jonagoldman
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