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Question
Find the square root of the following number.
256
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Solution
The prime factors of 256 can be written as
256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
Taking Square root on both sides
⇒ `root 256 = root (2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)`
⇒ `root 256` = 2 × 2 × 2 × 2
⇒ `root 256 = 16`
Hence the square root of 256 is 16
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