Question

Find the square root of each following by prime factorization:

5)7744

6)8281

Answer 1

5)7744
=2*3872
=2*2*1936
=2*2*2*968
=2*2*2*2*484
=2*2*2*2*2*242
=2*2*2*2*2*2*121
==2*2*2*2*2*2*11*11
So, square root of 7744 is 2*2*2*11=88

6)8281
=7*1183
=7*7*169
=7*7*13*13
So square root of 8181 = 7*13=91