Question

Write the prime factorization of the following number and hence find their square root. 

9604 

Answer 1

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`