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Question

What is the square root of 23 - 4√15 ?

This question was previously asked in
CDS II 2021 General Knowledge Previous Year Paper (14-Nov-2021)
The correct answer is

\(2\sqrt5-\sqrt3\)

Calculation: \(23-4\sqrt{15}=(2\sqrt5-\sqrt3)^2\)

Answer: \(2\sqrt5-\sqrt3\gt 0\implies\sqrt{23-4\sqrt{15}}=2\sqrt5-\sqrt3\)

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Important Questions from Surds and Indices

  1. The cube root of - 64 × - 1331 is:

  2. If (27) m = (81) n, then m 2: mn = ?

  3. if 49 n +  49 n  +  49 n  +  49 n  +  49 n  +  49 n +  49 n  = 7 2221 , then n = ? 

  4. If a x= b y= c zand b 2= ac then y =

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