Question

rationalize the denominators of the following 1/√7-√6
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Answer 1

Answer:

1/√7-√6

=1/√7-√6 ×√7+√6 /√7+√6

=1/√7-√6 =1.

Answer 2

Answer:

1/√7 - √6

= 1/√7 - √6 × √7 + √6/√7 + √6

= √7 + √6/√7² - √6²

= √7 + √6/7 - 6

= √7 + √6/1

= √7 + √6

Therefore, after rationalizing the denominator of 1/√7 - √6, we get √7 + √6 as the answer.

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