Question
Download Solution PDF(5 + 3√2) (5 - 3√2 ) యొక్క ధనాత్మక వర్గమూలం α అయితే, 8 + 2α యొక్క ధనాత్మక వర్గమూలం ఏమిటి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఉపయోగించిన ఫార్ములా:
(a - b) (a + b) = a2 - b2
(a2 + 2ab + b2) = (a + b)2
లెక్కింపు:
దానిని బట్టి,
α = √[(5 + 3√2) (5 - 3√2)]
నుండి, (a - b) (a + b) = a2 - b2
α = √[(52 - (3√2)2]
α = √(25 - 18) = √7
అవసరమైన వర్గమూలం βగా ఉండనివ్వండి
β = √(8 + 2√7) = √(7 + 1 + 2√7)
β = √[(√7)2 + 2.1.√7 + (1)2]
β = √(√7 + 1)2
నుండి, (a2 + 2ab + b2) = (a + b)2
β = √7 + 1
Last updated on May 29, 2025
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