Question

Find the value of following expression

Answer 1

Answer:

For this question you need to start from the right most square root and make the identity of the form a^2 - b^2.

Keep applying the same technique until you reach the first square root.

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Answer 2

Answer:

$= \sqrt{1 + 2008 \times 2010} \\ \\ = \sqrt{( {2009)}^{2} } \\ \\ = 2009$