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Question
Write the prime factorization of the following number and hence find their square root.
7056
Solution
The prime factorisation of 7056:
7056 = 2 \[\times\]2\[\times\]2\[\times\]2\[\times\] 3\[\times\]3\[\times\]7\[\times\] 7
Grouping them into pairs of equal factors, we get:
7056 = (2\[\times\] 2)\[\times\](2\[\times\]2)\[\times\] (3\[\times\]3)\[\times\](7\[\times\]
Taking one factor from each pair, we get:
`sqrt(7056)=2xx2xx3xx7=84`
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