the mean proportion between (8+√15) and (32-4√15) is
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Answer:
14.
Step-by-step explanation:
Given:- The given numbers are (8 + √15) and (32 - 4√15).
To Find:- Mean proportion between (8 + √15) and (32 - 4√15).
Solution:-
Mean proportion basically means Geometric mean of two positive numbers. The Mean proportion between two terms is calculated by taking the square root of the product of two quantities in a ratio.
Mean proportion, x = √pq
Here the given numbers are (8 + √15) and (32 - 4√15).
Required mean proportion = √ ( (8 + √15)(32 - 4√15) )
= √( 256 - 32√15 + 32√15 - 4 × 15)
= √ ( 256 - 60)
= √ 196
= 14.
Therefore the mean proportion between (8 + √15) and (32 - 4√15) is 14.
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