How do you rationalize #sqrt(10/7)#?

Answer 1
The answer is #sqrt 70/7# .
Problem: Rationalize #sqrt(10/7)# .
#sqrt(10/7)=sqrt 10/sqrt 7#
Multiply the numerator and denominator times #sqrt 7#.
#sqrt 10/sqrt 7*sqrt 7/sqrt 7# =
#(sqrt 10sqrt 7)/7#

Simplify.

#sqrt 70/7#
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Answer 2

To rationalize the expression sqrt(10/7), we can multiply both the numerator and denominator by sqrt(7). This results in sqrt(10/7) * sqrt(7)/sqrt(7), which simplifies to sqrt(70)/7. Therefore, sqrt(10/7) can be rationalized as sqrt(70)/7.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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