Evaluating the Expression \( \sqrt{\sqrt{n}} \)

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Question:

What are the values of the following expression?

In each line, assume that:

x = 2.5 y = -1.5 m = 18 n = 4

sqrt(sqrt(n))

Answer:

To evaluate the expression ( \sqrt{\sqrt{n}} ) with the given value of ( n = 4 ), we can follow these steps:

  1. First, calculate the square root of ( n ): [ \sqrt{n} = \sqrt{4} = 2 ]

  2. Next, calculate the square root of the result from step 1: [ \sqrt{\sqrt{n}} = \sqrt{2} ]

Thus, the value of the expression ( \sqrt{\sqrt{n}} ) is ( \sqrt{2} ), which is approximately ( 1.414 ).