# How do you simplify #sqrt2/sqrt6#?

Rationalize the denominator to get

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To simplify sqrt2/sqrt6, we can rationalize the denominator by multiplying both the numerator and denominator by sqrt6. This gives us sqrt2 * sqrt6 / sqrt6 * sqrt6. Simplifying further, we have sqrt(2 * 6) / 6, which simplifies to sqrt12 / 6. Finally, we can simplify sqrt12 to 2sqrt3, so the simplified form of sqrt2/sqrt6 is 2sqrt3/6.

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