geometric mean of each pair of numbers; 4 and 10; 4 and 49; 5 and 125; 1/2 and 2; and square root of 28 and square root of 7

2√10 14 25 1 14

Step-by-step explanation:

The geometric mean of "a" and "b" is the root of their product:

geometric mean = √ (ab)

Then your means are ...

√ (4·10) = √40 = 2√10 ≈ 6.3246

√ (4·49) = 2·7 = 14

√ (5·125) = √625 = 25

√ ((1/2) ·2) = √1 = 1

√ (28·7) = √196 = 14