Question

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

 7744

Answer 1

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`