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√3a=a^2 則3a=a^4 3=a^3 a=3^(1/3)

a² / √3 = √a (a² / √3)² = a a⁴ / 3 = a 3(a⁴ / 3) = (a)3 a⁴ = 3a a⁴/a = 3 a^(4 - 1) = 3 a³ = 3 a = ³√3

asnwer=1x isit

Math Olympiad: a²/√3 = √a; a = ? a ≥ 0; (a²/√3)² = (√a)², a⁴ = 3a, a⁴ - 3a = a[a³ - (³√3)³] = 0 a(a - ³√3)[a² + a(³√3) + (³√3)²] = 0, a ≥ 0; a² + a(³√3) + (³√3)² > 0 a = 0 or a - ³√3 = 0; a = ³√3 Answer check: a = 0: a²/√3 = 0/√3 = 0 = √a; Confirmed a = ³√3: a²/√3 = (³√3)²/√3 = 3⁽²⸍³⁻¹⸍²⁾ = 3¹⸍⁶ = ⁶√3, √a = √(³√3) = (3¹⸍³)¹⸍² = 3¹⸍⁶ = ⁶√3; Confirmed Final answer: a = 0 or a = ³√3

[(a^2)÷/3]=/a : [(a^4)/3]=a :a^4=3a : a=4/3a