Find the value of :

2022

Find the value of :

image.png

  1. A.

    2

  2. B.

    3

  3. C.

    4

  4. D.

    5

Attempted by 17 students.

Show answer & explanation

Correct answer: B

Step-by-Step Solution
To solve this expression, you need to evaluate the nested square roots starting from the innermost radical and working your way outward.

Evaluate the innermost radical:
√49 = 7

Substitute and simplify:
The expression becomes √(29 + 7) = √36

Continue simplifying:
√36 = 6
The expression becomes √(19 + 6) = √25

Continue simplifying:
√25 = 5
The expression becomes √(11 + 5) = √16

Final step:
√16 = 4
The final expression is √(5 + 4) = √9
√9 = 3

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