Rationalize the denominator of 6−√5 6+√5
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The correct answer is .
Given:
(6−√5)/(6+√5).
To Find:
The rationalization of (6−√5)/(6+√5).
Solution:
By rationalizing a given fraction, we remove the root in the denominator.
To rationalize fractions with denominators of the form 'x+y' we will multiply the conjugate of the denominator 'x-y' to both the numerator and the denominator.
The denominator of the given fraction is (6+√5). It conjugate = (6-√5).
Multiplying (6-√5) to both the numerator and the denominator of the given fraction, we have:
x = = = =
Hence, on the rationalization of (6−√5)/(6+√5), we obtain .
∴ The correct answer is .
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