Divide √95/3√5 . Provide an exact answer.

3 answers

To divide √95 by 3√5, we need to rationalize the denominator:

√95/3√5 * (√5√5)/ √5√5

This gives us:

(√475)/(3√25)

Now, simplify by factoring out perfect squares from the numerator and denominator:

(√(25*19))/(3*√25)

√(25*19) is equal to √25 * √19, which simplifies to 5√19.

So the final answer is:

(5√19)/(3*5)

Cancel out the factor of 5 from the numerator and denominator:

(√19)/3
answer
The exact answer is (√19)/3.
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