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Question
Write the prime factorization of the following number and hence find their square root.
7744
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Solution
The prime factorisation of 7744:
7744 =`2xx2xx2xx2xx2xx2xx11xx11`
Grouping them into pairs of equal factors, we get:
7744 = (2\[\times\]2)\[\times\](2\[\times\]2)\[\times\] (2\[\times\]2)\[\times\](11\[\times\]11)
Taking one factor from each pair, we get :
`sqrt(7744)=2xx2xx2xx2xx11=88`
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