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How do you simplify #(6sqrt3)/sqrt5#?

Answer 1

#(6sqrt3)/sqrt5 = 6sqrt(3/5)*sqrt(3/3)= 18/(sqrt15) = (18sqrt(15))/15 = (6sqrt(15))/5#

The main idea is to minimize the number of radicals in the expression and/or in the denominator. Can't go any further than this though.

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Answer 2

Jameson Allen

To simplify (6√3)/√5, we can rationalize the denominator by multiplying both the numerator and denominator by √5. This gives us (6√3 * √5)/(√5 * √5). Simplifying further, we get (6√15)/5.

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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.