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Rationalize √3+√2/√3-√2​
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2 votes
Rationalize √3+√2/√3-√2​

User Meghna
by
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2 Answers

3 votes

Answer: 5+2√6

Step-by-step explanation: attachment

Rationalize √3+√2/√3-√2​-example-1
User Covard
by
4.0k points
5 votes

Answer:

5 + 2
√(6)

Explanation:

Multiply top and bottom by sqrt(3) + sqrt(2)

Top = (sqrt (3) + sqrt(2)) * (sqrt(3) + sqrt(2))

Top = 3 + sqrt(6) + sqrt(6) + 2

Top = 5 + 2sqrt(6)

Bottom = (sqrt (3) - sqrt(2)) * (sqrt(3) + sqrt(2))

Bottom = (3 - sqrt(6) + sqrt(6) - 2)

Bottom = 1

So, the answer is 5 + 2
√(6\\)

User Pedalpete
by
5.0k points
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