Question 594166
{{{sqrt(1/12)}}}
The easiest way to rationalize this is to turn the denominator into a perfect square. So we want to turn the 12 into a perfect square. The obvious thing to do would be to multiply the numerator and denominator by 12. This will definitely work.<br>
But any perfect square denominator will work and it will be faster and easier if we multiply by 3/3:
{{{sqrt(1/12) = sqrt((1/12)(3/3)) = sqrt(3/36) = sqrt(3)/sqrt(36) = sqrt(3)/6}}}<br>
The hard way:
{{{sqrt(1/12) = sqrt((1/12)(12/12)) = sqrt(12/144) = sqrt(12)/sqrt(144) = sqrt(12)/12 = sqrt(4*3)/12 = (sqrt(4)*sqrt(3))/12 = (2*sqrt(3))/12 = sqrt(3)/6}}}