A Nice Algebra Problem | Math Olympiad | Square Root Simplification

[@5351Serio]

Brilliant!
Thank you

[@SALogics]

Glad you liked it! ❤

[@ralphtrucksess7008]

@3:45
7 + sqrt (48) = 4+3 + 2 * sqrt (4) * sqrt (3)

[@SALogics]

Very nice! ❤

[@nasrullahhusnan2289]

Let a=sqrt[49/{7-sqrt(48)}]
=7sqrt[1/{7-sqrt(48)}]
Multiply by [7+sqrt(48)]/[7+sqrt(48)]
a=7sqrt[7+sqrt(48)]
=7sqrt[7+2sqrt(12)]
=7sqrt[2+sqrt(3)]²
=7[2+sqrt(3)]

[@SALogics]

Very nice! ❤

[@فیروزاهنگری]

A=√49/√(7-√48)=7/√(7-4√3)
A=7/√[(2-√3)^2]
A=7/(2-√3)
A=7/(2-√3)•(2+√3)/(2+√3)
A=7(2+√3)=14+7√3

[@SALogics]

Very nice! ❤