Question 96594
find the perimeter of the triangle
4 , /5 - /3, /5 + /3 radical equations
:
Assume you mean the 3 sides are:
1: 4

2: {{{sqrt(5) - sqrt(3)}}}
3: {{{sqrt(5) + sqrt(3)}}}
:
Add the three sides:
P = 4 + ({{{sqrt(5) - sqrt(3)}}}) + ({{{sqrt(5) + sqrt(3)}}})
:
remove the brackets, group like terms
P = 4 + {{{sqrt(5) + sqrt(5) - sqrt(3) + sqrt(3)}}}
:
P = 4 + 2{{{sqrt(5)}}}