Question
Download Solution PDF( -1 + i√3 )48 का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
एकता के घनमूल 1, ω और ω2 हैं
यहाँ, ω =
एकता के घनमूलों के कुछ गुण
- ω3 = 1
- 1 + ω + ω2 = 0
गणना:
दिया गया व्यंजक ( -1 + i√3 )48 है
चूंकि, =
∴ 2ω = -1 + i√3
∴ (2ω)48 = (-1 + i√3 )48
∴ (-1 + i√3 )48 = 248(ω3)16
∴ (-1 + i√3 )48 = 248 चूँकि ω3 = 1
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