Question
Download Solution PDF9 + \(2\sqrt{14}\) का वर्गमूल कितना है?
This question was previously asked in
Territorial Army Official Paper I (Conducted on 25 Sep 2022)
Answer (Detailed Solution Below)
Option 3 : \(\sqrt 2\) + \(\sqrt 7\)
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Download Solution PDFदिया गया है:
9 + \(2√{14}\) का वर्गमूल है
प्रयुक्त अवधारणा:
(a + b)2 = a2 + b2 + 2ab
गणना:
हमारे पास है,
⇒ 9 + \(2√{14}\)
⇒ 2 + 7 + 2√(2 × 7)
⇒ (√2)2 + (√7)2 + 2 × √2 × √7
अब, उपरोक्त अवधारणा के अनुसार,
⇒ (√2 + √7)2
∴ अभीष्ट वर्गमूल √2 + √7 है।
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