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If √6 is the geometric mean between 6 and another number, then the number is ____.
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4 votes
If √6 is the geometric mean between 6 and another number, then the number is
____.

User Andrewk
by
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2 Answers

3 votes
to find the geometric mean of 2 numbers, multiply them and take the square root

one number is x
the other is 6
the mean is√6

so
6 times x=6x
√(6x)=√6
what is x?
square both sides
6x=6
divide both sides by 6
x=1

the other number is 1
User Suzu
by
8.7k points
1 vote
Then the other number should be 1
User Avizzini
by
8.4k points
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