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How do you rationalize the denominator #sqrt(3/4)#?

Answer 1

Eva Adamson

#sqrt(3/4)#

#=sqrt3/sqrt4#

#=sqrt3/2#

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Answer 2

Isaiah Anthony

#sqrt3/2#

We can use the radical law

#sqrt(a/b)=sqrta/sqrtb#

With this in mind, we can rewrite this as

#sqrt3/sqrt4#, which simplifies to

#sqrt3/2#

Hope this helps!

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Answer 3

Eva Abramson

To rationalize the denominator sqrt(3/4), you can multiply both the numerator and denominator by the conjugate of the denominator, which is sqrt(4/4). This simplifies to sqrt(3/4) * sqrt(4/4), resulting in sqrt(12/16). Simplifying further, we get sqrt(3/4) * sqrt(3/4) * sqrt(4/4), which equals sqrt(9/16). Finally, simplifying the square root gives us 3/4.

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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.