If x = ∛(31 + 14√3) and y = ∛(31 − 14√3), then the value of x³ + y³ + 3x³y³ is:
यदि x = ∛(31 + 14√3) और y = ∛(31 − 14√3) है, तो x³ + y³ + 3x³y³ का मान ज्ञात कीजिए।
Answer और ExplanationAnswer and explanation
Answer: (A) 1181
x3 = 31 + 14√3 और y3 = 31 − 14√3, इसलिए x3 + y3 = 62
x3y3 = 312 − (14√3)2 = 961 − 588 = 373
x3 + y3 + 3x3y3 = 62 + 3 × 373 = 62 + 1119
✓
मान 1181 है।
x3 = 31 + 14√3 and y3 = 31 − 14√3, so x3 + y3 = 62
x3y3 = 312 − (14√3)2 = 961 − 588 = 373
x3 + y3 + 3x3y3 = 62 + 3 × 373 = 62 + 1119
✓
The value is 1181.
Source: RRB NTPC (Graduate) · 19 Mar 2026 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: RRB NTPC (Graduate) · 19 Mar 2026 · Shift 2. Solution by Prashant Sir, from Vijayastra.