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Square root and cube root

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  1. √(12 + √12 + √12 + ... = ?
    1. 3
    2. 4
    3. 6
    4. Greater than 6
Correct Option: B

Let given expression = x
Then, √12 + x = x
⇒ 12 + x = x2
⇒ x2 - x - 12 = 0
⇒ (x - 4) (x + 3) = 0
So, x = 4 (neglecting x = -3)


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