How do you simplify the square root of 1.96 without a calculator?

First we need to get the decimal in to a fraction form.

If you multiply it by 100 you will get an integer.

Thus, ##sqrt(1.96)= sqrt(196/100)## now simplify the radicals

##sqrt(196/100)= sqrt(196)/sqrt(100)= 14/10=7/5 ##