Question

find the square roots of the following by prime factorization:
a)1,936
b)3,844
c)5,184
d)2,500

Answer 1

Step-by-step explanation:

1)1936=2*2*2*2*11*11

2*2*11

=44

2)3844=2*1922

=2*2*31*961

=2*2*31*31*31

=2*31

62

3)5184=2*2*2*2*2*2*3*3*3*3

72

4)2500=2*1250

=2*2*625

=2*2*5*125

=2*2*5*5*25

=2*2*5*5*5*5

=2*5*5

=50

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