Question
Download Solution PDFयदि (5 + 3√2) (5 - 3√2) का धनात्मक वर्गमूल α है, तो 8 + 2α का धनात्मक वर्गमूल क्या होगा ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र:
(a - b) (a + b) = a2 - b2
(a2 + 2ab + b2) = (a + b)2
गणना:
दिया गया है कि,
α = √[(5 + 3√2) (5 - 3√2)]
चूँकि, (a - b) (a + b) = a2 - b2
α = √[(52 - (3√2)2]
α = √(25 - 18) = √7
माना अभीष्ट वर्गमूल β है
β = √(8 + 2√7) = √(7 + 1 + 2√7)
β = √[(√7)2 + 2.1.√7 + (1)2]
β = √(√7 + 1)2
चूँकि (a2 + 2ab + b2) = (a + b)2
β = √7 + 1
Last updated on May 29, 2025
-> The UPSC CDS 2 Notification has been released at upsconline.gov.in. for 453 vacancies.
-> Candidates can apply online from 28th May to 17th June 2025.
-> The CDS 2 Exam will be held on 14th September 2025.
-> Attempt UPSC CDS Free Mock Test to boost your score.
-> The selection process includes Written Examination, SSB Interview, Document Verification, and Medical Examination.
-> Refer to the CDS Previous Year Papers to enhance your preparation.