Ch. 8.2 Geometric Mean
x
4
The geometric mean of two numbers
can be calculated by finding the
SQUARE ROOT of the product of both numbers
=
9
x
The geometric mean
of 4 and 9 is 6.
4 * 9
= 6
replacing each x with the
geometric mean makes
the fractions equal
6
4
The geometric mean of two numbers
can be calculated by finding the
SQUARE ROOT of the product of both numbers
=
9
6
The geometric mean
of 4 and 9 is 6.
4 * 9
= 6
x
2
The geometric mean of two numbers
can be calculated by finding the
SQUARE ROOT of the product of both numbers
=
8
x
The geometric mean
of 2 and 8:
2 * 8
=
Check: both fractions
equal 1/2.
Also, 2 * 8 = 4 * 4
4
2
The geometric mean of two numbers
can be calculated by finding the
SQUARE ROOT of the product of both numbers
=
4
8
The geometric mean
of 2 and 8:
2 * 8
=
4
x
4
The geometric mean of two numbers
can be calculated by finding the
SQUARE ROOT of the product of both numbers
=
25
x
The geometric mean
of 4 and 25:
4*25
=
Check: both fractions
equal 2/5 (reduced)
Also, 4*25 = 10*10
10
4
The geometric mean of two numbers
can be calculated by finding the
SQUARE ROOT of the product of both numbers
=
10
25
The geometric mean
of 4 and 25:
4*25
=
10
x
3
The geometric mean of two numbers
can be calculated by finding the
SQUARE ROOT of the product of both numbers
=
12
x
The geometric mean
of 3 and 12:
3*12
=
x
2
The geometric mean of two numbers
can be calculated by finding the
SQUARE ROOT of the product of both numbers
=
32
x
The geometric mean
of 2 and 32:
2*
fill in both
blanks
=
x
2
The geometric mean of two numbers
can be calculated by finding the
SQUARE ROOT of the product of both numbers
=
50
x
The geometric mean
of 2 and 50:
2*
fill in both
blanks
=
x
5
The geometric mean of two numbers
can be calculated by finding the
SQUARE ROOT of the product of both numbers
=
20
x
The geometric mean
of 5 and 20:
5*
fill in both
blanks
=
x
5
The GEOMETRIC MEAN does NOT have to be
a whole number, or a rational number
(it can be an imperfect square root)
=
7
x
The geometric mean
of 5 and 7:
5*
fill in both
blanks
=
x
5
The GEOMETRIC MEAN does NOT have to be
a whole number, or a rational number
(it can be an imperfect square root)
=
7
x
The geometric mean
of 5 and 7:
35
5*
7
is the geometric
mean.  It cannot
be simplified.
=
35
x
2
The GEOMETRIC MEAN does NOT have to be
a whole number, or a rational number
(it can be an imperfect square root)
=
7
x
The geometric mean
of 2 and 7:
2*
fill in both
blanks
=
x
3
The GEOMETRIC MEAN does NOT have to be
a whole number, or a rational number
(it can be an imperfect square root)
=
7
x
The geometric mean
of 3 and 7:
3*
fill in both
blanks
=
x
5
The GEOMETRIC MEAN does NOT have to be
a whole number, or a rational number
(it can be an imperfect square root)
=
11
x
The geometric mean
of 5 and 11:
5*
fill in both
blanks
=
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