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Rationalize the denominator of 2/√3−1 Please give step by step answer

User Kahlia
by
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2 Answers

6 votes
Answer: sqrt2

Step-by-step explanation:

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Rationalize the denominator of 2/√3−1 Please give step by step answer-example-1
User Jon Calder
by
6.3k points
2 votes

Answer:

√3 + 1

Step-by-step explanation:

Step below are self-explanatory

  • 2/(√3−1)=
  • 2×(√3 + 1)/(√3 - 1)×(√3 + 1) = multiplied both sides by √3 + 1
  • 2×(√3 + 1)/(√3² - 1²)= used (a+b)(a-b)= a² - b² formula
  • 2×(√3 + 1)/(3 - 1)=
  • 2×(√3 + 1)/2= cancelled like terms
  • √3 + 1
User Emma Rossignoli
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5.6k points