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to rationalize the denominator of 5 - sqrt. 7/ 9 - sqrt. 14, you should mulitply the expression by which fraction?

User Strek
by
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2 Answers

2 votes

Answer: 9+ sqrt 14 is correct

Step-by-step explanation: Right above

User Alexwells
by
8.1k points
0 votes

Answer:

9+sqrt(14)

------------------

9+sqrt(14)

Explanation:

When we rationalize the denominator, we need to multiply by the conjugate

The denominator has a-sqrt(b), we multiply by a+sqrt(b)

Since we have 9 -sqrt(14), we need to multiply by 9+sqrt(14)

What we do to the bottom, we do to the top, so multiply by 9+sqrt(14) over 9+sqrt(14) which is equal to 1. This does not change the equation.


9+sqrt(14)

------------------

9+sqrt(14)


User Roconmachine
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