Question 84041
Presuming that you don't mean that only the square root of 24 is divided by 2, your problem
is to find:
.
{{{(7+-sqrt(24))/2}}}
.
This has two answers ... one answer involves the plus sign and the other answer involves
the minus sign. In other words, the answers to your question are:
.
{{{(7+sqrt(24))/2}}} and {{{(7-sqrt(24))/2}}}
.
You can find {{{sqrt(24)}}} using a calculator.  You should find that {{{sqrt(24)= 4.898979486}}}
.
Substituting that number for {{{sqrt(24)}}} in the two answers results in the two answers
becoming:
.
{{{(7+4.898979486)/2}}} and {{{(7-4.898979486)/2}}}
.
In the first answer the two terms in the numerator add to give 11.898979486 so this answer
becomes:
.
{{{11.898979486/2}}} and dividing the 2 into the numerator of 11.898979486 results
in that answer becoming:
.
{{{11.898979486/2 = 5.949489743}}}
.
In the second answer the two terms of the numerator are subtracted. This subtraction
(7 - 4.898979486) results in 2.101020514. Substituting this value for the numerator
of the second answer, results in the second answer becoming:
.
{{{2.101020514/2 = 1.050510257}}}
.
In summary, your original problem has two answers:
.
{{{5.949489743}}} and {{{1.050510257}}}
.
Hope this work helps you to understand how to evaluate expressions of the form that you
have in this problem.