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How do you simplify #(5[sqrt3]) / [sqrt12]#?

Answer 1

#5/2#

12 is not a perfect square and therefore does not have an exact square root. However, it has a factor which is a square.

#(5sqrt3)/sqrt12 = (5sqrt3)/sqrt(4xx3)#

=#(5sqrt3)/(2sqrt3)#

=#5/2#

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Answer 2

Eva Abramson

To simplify (5√3) / √12, we can rationalize the denominator by multiplying both the numerator and denominator by √12. This gives us (5√3 * √12) / (√12 * √12). Simplifying further, we have (5√3 * √12) / 12. Using the property of square roots, we can simplify the numerator to √36, which is 6. Therefore, the simplified form is 6/12, which can be further reduced to 1/2.

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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.