What is the simplest radical form of $sqrt(10/6)$ ?

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Answer 1 · 2015-07-23T22:01:03

$sqrt(15)/3$

To get the simplest radical form of $sqrt(10/6)$ , you first have to simplify the fraction that's under the radical, $10/6$ .

$10/6 = (cancel(2) * 5)/(cancel(2) * 3) = 5/3$

The radical expression becomes

$sqrt(5/3)$

You can go further and write this as

$sqrt(5/3) = sqrt(5)/sqrt(3)$

Rationalize the denominator by multiplying the numerator and the denominator by $sqrt(3)$ to get

$(sqrt(5) * sqrt(3))/(sqrt(3) * sqrt(3)) = sqrt(5 * 3)/sqrt(3 * 3) = color(green)(sqrt(15)/3)$

What is the simplest radical form of sqrt(10/6)sqrt(10/6)?