Question
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निर्देश : निम्नलिखित प्रश्नों के लिए निम्नलिखित पर विचार करें :
मान लीजिये (8 + 3√7) 20 = U + V और (8 - 3√7) 20 = W, जहाँ U एक पूर्णांक है और 0
V + W किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
दिया गया है:
(8 + 3√7) 20 = U + V...(i)
(8 - 3√7) 20 = W...(ii)
यहाँ, 0
अब, समीकरण (i) और (ii) को जोड़ने पर, हमें प्राप्त होता है
U + V +W = (8 + 3√7) 20 + (8 - 3√7) 20
= 2[20C0820+ 20C2818. (3√7 )2+........+(3√7)20
⇒ यह एक सम संख्या है।
इसके अलावा, 0
इस प्रकार, V + W एक पूर्णांक है
V + W = 1
∴ विकल्प (d) सही है।
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