RADICAL Math Problem SOLVED in a Way You Never Thought POSSIBLE!

[@RashmiRay-c1y]

Let E=a+b√5. Then, E^5 = (a^5+50a^3b^2+125ab^4) + (5a^4b+50a^2b^3+25b^5)√5 = 176 + 80√5 > a=b=1. So, E= √5 + 1.

[@davidseed2939]

would it be easier to work with w=x/2 z=y/2 then you have x=5rt((5sqrt5+11)/2 )

[@Jaiaakash777]

1+sqroot5

[@RyanLewis-Johnson-wq6xs]

Surd[(400/Sqrt[5]+176),5]=1+Sqrt[5] It’s in my head.

[@yakupbuyankara5903]

5^(1/2)+1

[@潘博宇-k4l]

E=(5)^(1/2)-1

[@Quest3669]

(√5)+1

[@RealQinnMalloryu4]

{x^3+x^3 ➖}+{400+400 ➖ }/5+5 ➖ +176 {x^6+800}/10+{176+176 ➖ }={800x^6/10+352}=11052x^6/10=115.2x^6 2^3.
2x^2^3 1^1.1x^2^3 (x ➖ 3x+2).

[@gregevgeni1864]

1+√5

[@DanToomey-j8n]

Real or not real.. >0