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Question
Write the prime factorization of the following number and hence find their square root.
9604
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Solution
The prime factorisation of 9604:
9604 = 2\[\times\] 2\[\times\]7\[\times\]7\[\times\]7\[\times\]7
Grouping them into pairs of equal factors, we get:
9604 = (2\[\times\]2)\[\times\](7\[\times\]7)\[\times\](7\[\times\] 7)
Taking one factor from each pair, we get:
`sqrt9604=2xx7xx7=98`
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