A Nice Algebra Problem | Can you solve this ? | Simplify Square Root Problem

[@RyanLewis-Johnson-wq6xs]

It’s in my head.

[@LanTo-sj5nt]

Square root 150 + Square root 25 / Square root 150 - Square root 25 ≈ 2.3798

[@Mathematica-q9o]

Right 👌👏👍

[@RyanLewis-Johnson-wq6xs]

Input
(sqrt(150) + sqrt(25))/(sqrt(150) - sqrt(25)) = 1.4 + 0.4 sqrt(6)
Result
True
Left hand side
(sqrt(150) + sqrt(25))/(sqrt(150) - sqrt(25)) = 1/5 (7 + 2 sqrt(6))
Right hand side
1.4 + 0.4 sqrt(6) = 1/5 (7 + 2 sqrt(6))
Logarithmic form
log(-5 + 5 sqrt(6), sqrt(150) + sqrt(25)) - log(-5 + 5 sqrt(6), sqrt(150) - sqrt(25)) = log(-5 + 5 sqrt(6), 1.4 + 0.4 sqrt(6))