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Answer :

The geometric mean is defined as the nth root of the product of n numbers

1. 4 and 9

   Geometric mean = [tex]\sqrt{4*9} = \sqrt{36} =6[/tex]

2. 5 and 8

   Geometric mean = [tex]\sqrt{5*8} =\sqrt{40} = 2\sqrt{10}[/tex]

3. 8 and 32

    Geometric mean = [tex]\sqrt{8*32} =\sqrt{256} =16[/tex]

4. 64 and 36

     Geometric mean = [tex]\sqrt{64*36} =\sqrt{2304}=48[/tex]

Hope that helped!