Question

Hi, I have been asked to simplify the square root of 28 by writing it as a product of an integer and a surd. By practising other calculations I have come up with the answer of 2/7 (sorry couldn't do a square root symbol so have used / instead). I think I may have the right answer but I am still unsure of how it is a product of an integer or a surd, I keep reading up about them both but cannot explain it in my answer. Any help would be very much appreciated, thanks

Answer 1

Yes, the square root is 28 is
sqrt (4*7) = sqrt4 * sqrt7 = 2 sqrt7

I never heard of a "surd"

Answer 2

2 sqrt 7 is your surd

a surd is a numerical expresion containing one or more irrational roots of numbers

its the conventional way of saying
sqrt 7 x 2