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

Answer 1

Nathan Axel

#sqrt3/2#

We can use the law of radicals

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

to rewrite this expression as

#sqrt3/sqrt4#

Which simplifies to #sqrt3/2#

Since there is a rational number in the denominator, we don't need to rationalize it.

Hope this helps!

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Answer 2

Julia Adams

To rationalize the denominator and simplify sqrt(3/4), you can multiply both the numerator and denominator by the conjugate of the denominator. In this case, the conjugate of sqrt(4) is sqrt(4) which is 2. By multiplying both the numerator and denominator by 2, you get sqrt(3/4) = sqrt(3/4) * (2/2) = sqrt(6)/2.

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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.