Math, asked by ashish425, 1 year ago

the mean proportion between (8+√15) and (32-4√15) is

Answers

Answered by Adityadwivedi1
3
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Answered by vinod04jangid
0

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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To understand the concept better, also solve

https://brainly.in/question/11976462

https://brainly.in/question/38408850

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