Question
Download Solution PDFयदि x = 5 - 2√6 है, तो √x +(1/√x) का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है: x = 5 - 2√6
⇒ x = (√3 - √2)2
√x +(1/√x) = √(√3 - √2)2 + 1/(√3 - √2)2 को ज्ञात करने के लिए,
⇒ (√3 - √2) + 1/(√3 - √2)
⇒ (6 - 2√6)/(√3 - √2)
अंश और हर दोनों को (√3 + √2) से गुणा करने पर, हमें प्राप्त होता है
⇒ (6 - 2√6) (√3 + √2)/(3 - 2)
⇒ 6√3 + 6√2 - 2√18 - 2√12
⇒ 6√3 + 6√2 - 6√2 - 4√3
⇒ 2√3
∴ सही विकल्प 3) है।Last updated on Jul 7, 2025
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