Evaluate the sum S = √3+ √5+ √7 to four significant digits and find its relative absolute and relative errors.
To evaluate the sum S = √3 + √5 + √7, we can use a calculator or an approximation. Plugging the values of √3, √5, and √7 into a calculator, we find S ≈ 5.196.
To find the relative absolute error, we need to compare the absolute error (the difference between the calculated value and the true value) to the true value. In this case, we don't know the true value, so we can't calculate the absolute error or the relative absolute error.
To find the relative error, we need to compare the approximated value to the true value. Again, we don't know the true value, so we can't calculate the relative error.
Therefore, we can't calculate the relative absolute error or the relative error for this sum.