Question 422635

I am guessing that the answer should be left as radicals, rather than punched into the calculator. So, lets examine the problem:

{{{sqrt(14)-sqrt(2/7)}}}

Split the numerator and denominator of the fraction
={{{sqrt(14)-sqrt(2)/sqrt(7))}}}

Now we want to get the radical out of the denominator. Simply multiply by "1", or square root of seven over itself:
={{{sqrt(14)-sqrt(2)*sqrt(7)/(sqrt(7)*sqrt(7))}}}

Multiply through both numerator and denominator:
={{{sqrt(14)-sqrt(14)/7}}}

Multiply the first radical by 7/7 to get common denominator:
={{{7*sqrt(14)/7-sqrt(14)/7}}}

And simplify:
={{{(7*sqrt(14)-sqrt(14))/7}}}
={{{(6*sqrt(14))/7}}}