Question
Download Solution PDFWhat is the square root of 9 + \(2\sqrt{14}\) ?
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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Detailed Solution
Download Solution PDFGiven:
The square root of 9 + \(2√{14}\)
Concept used:
(a + b)2 = a2 + b2 + 2ab
Calculation:
We have,
⇒ 9 + \(2√{14}\)
⇒ 2 + 7 + 2√(2 × 7)
⇒ (√2)2 + (√7)2 + 2 × √2 × √7
Now, according to the above concept,
⇒ (√2 + √7)2
∴ The required square root is √2 + √7.
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