Question
Download Solution PDF9 + \(2\sqrt{14}\) இன் வர்க்கமூலம் என்ன?
This question was previously asked in
Territorial Army Official Paper I (Conducted on 25 Sep 2022)
Answer (Detailed Solution Below)
Option 3 : √2 + √7
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Download Solution PDFகொடுக்கப்பட்டவை:
9 + \(2\sqrt{14}\) இன் வர்க்கமூலம் என்ன?
பயன்படுத்தப்படும் கருத்து:
(a + b)2 = a2 + b2 + 2ab
கணக்கீடு:
நம்மிடம் உள்ளது,
⇒ 9 + \(2√{14}\)
⇒ 2 + 7 + 2√(2 × 7)
⇒ (√2)2 + (√7)2 + 2 × √2 × √7
இப்போது, மேலே உள்ள கருத்தின்படி,
⇒ (√2 + √7)2
∴ தேவையான வர்க்கமூலம் √2 + √7.
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