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What is the square root of 20 – 6√11? 1. ±(√11 + 3)2. (√11 + 3)3. (√11 – 3)4. ±(√11 – 3)

Answer» Correct Answer - Option 4 : ±(√11 – 3)

Given:

Our number is 20 – 6√11

Formula used:

(a – b)2 = a2 + b2 – 2ab

Calculation:

Our number is 20 – 6√11

⇒ {(√11)2 + 32 – 2 × 3 × √11}1/2

⇒ {(√11 – 3)2}1/2  

⇒ ±(√11 – 3)

∴ The required value of given number is ±(√11 – 3)



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