Question 433914
Alright; {{{5sqrt(80)+sqrt(45)}}}
Solving without the help of calculator will be as follows;
{{{5sqrt(16*5)+sqrt(9*5)}}} that is you find a common factor for both terms, here it is    5. (5*16=80 and 5*9=45).

So we continue as follows;
{{{5sqrt(16*5)+sqrt(9*5)}}}
{{{(5*4)sqrt(5)+3sqrt(5)}}} that is {{{sqrt(16)=4}}} and {{{sqrt(9)=3}}}
{{{20sqrt(5)+3sqrt(5)}}} since the equation has two identical square root of 5, we can therefore add them together, which will give {{{23sqrt(5)}}}

Hence, the solution of {{{5sqrt(80)+sqrt(45)}}} in a radical form is {{{23sqrt(5)}}}.