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How do you simplify #sqrt67/sqrt7#?

Answer 1

Avery Alexander

In a calculator, the answer is #3.09377254682#

If by simply, you mean to rationalize the denominator, multiple both the numerator and the denominator by #sqrt(7)#:

#(sqrt(67)/sqrt(7)) = ((sqrt(67) * sqrt(7)) / 7) = sqrt(469)/7#

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Answer 2

Genesis Allen

We rationalize the denominator when we simplify this problem.

Visit this website for instructions on how to accomplish this: https://tutor.hix.ai

Let's now address this issue:

First thing, we multiply the expression by #sqrt(7)/sqrt(7)#. We can do this because #sqrt(7)/sqrt(7)# is simply 1, and multiplying something by 1 doesn't change the nature of the expression.

So, our expression is this: #sqrt(67)/sqrt(7) * sqrt(7)/sqrt(7)#

Multiplying, we get: #sqrt(469)/sqrt(49)#

Since #sqrt(49)# simplifies to 7, we get: #sqrt(469)/7#

Since, #sqrt(469)# is not something we can simplify, our final answer is: #sqrt(469)/7#

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Answer 3

Ethan Adkins

To simplify sqrt67/sqrt7, you can multiply the numerator and denominator by sqrt7. This gives you sqrt(677)/sqrt(77), which simplifies to sqrt(469)/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.