√(2² · 3) · √A · √2 ifoda qiymati butun son bo'ladigan A ning eng kichik natural qiymatini toping.
6
16
17
24
📝 Batafsil tushuntirish
Ifodani soddalashtiramiz: √(4 · 3) · √A · √2 = 2√3 · √2 · √A = 2√(6A). Ushbu ifoda butun son bo'lishi uchun ildiz ostidagi (6A) ifoda biror sonning to'liq kvadrati bo'lishi kerak. Buning uchun A ning eng kichik qiymati 6 ga teng bo'ladi: 2√(6 · 6) = 2 · 6 = 12.
