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Find the geometric mean of each pair of numbers. If necessary, give the answer in simplest radical form.

1) 1/4 and 4

2) 3 and 75

3) 4 and 18

4) 1/2 and 9

5) 10 and 14

6) 4 and 12.25

 Feb 26, 2015

Best Answer 

 #1
avatar+130516 
+5

I'll do a couple

To find the geometric mean, in this case, multiply the numbers together and take the square root

5)   √(10 * 14)  = √(2 * 5 * 2 *7)  = √(4 * 35)  = 2√35

6)  √(4 * 12.25) = √50 = √(25 * 2) = 5√2

The rest are similar.......

 

 Feb 26, 2015
 #1
avatar+130516 
+5
Best Answer

I'll do a couple

To find the geometric mean, in this case, multiply the numbers together and take the square root

5)   √(10 * 14)  = √(2 * 5 * 2 *7)  = √(4 * 35)  = 2√35

6)  √(4 * 12.25) = √50 = √(25 * 2) = 5√2

The rest are similar.......

 

CPhill Feb 26, 2015

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