Question 66607
I need to find the area of a square with all sides = sqrt of 3 plus sqrt of 5. What I mean is that the square has four equal sides measure sqrt of 3 + sqrt of 5. I am having a tough time with this one. 


The area of a square (A) equals S^2  where S is the length of one side:

A=(sqrt3+sqrt5)^2 and this equals (multiplying it out):

(sqrt3)(sqrt3)+(sqrt3)(sqrt5)+(sqrt3)(sqrt5)+(sqrt5)(sqrt5) and we have

NOTE 1:  (sqrt3)(sqrt3)=3
NOTE 2:  (sqrt3)(sqrt5)=sqrt(15)
NOTE 3:  (sqrt5)(sqrt5)=5

Putting it all together, we have

3+2sqrt(15)+5 and this equals:

8+2sqrt(15)=
A=2(4+sqrt(15))

A=15.7459 sq units


ck by using a calculator


Hope this helps-----ptaylor