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Chapter 8: Q15. (page 288)

Give the geometric mean between:

a. 2 and 3 b. 2 and 6 c. 4and 25.

Short Answer

Expert verified
  1. The final answer is 6.

Step by step solution

01

Step 1. Given information:

The given numbers are 2,3 .

02

Step 2. Concept use.

The geometric mean between two numbers a and b is defined by the relation,

c=ab

03

Step 3. Applying the concept.    

By using the formula for the given numbers.

c=2脳3

=6

Therefore, the geometric mean of the numbers is 6.

b. The final answer is 23.

04

Step 1. Given information:

The given numbers are 2,6 .

05

Step 2. Concept use.

The geometric mean between two numbers a and b is defined by the relation,

c=ab

06

Step 3. Applying the concept.    

By using the formula for the given numbers.

c=2脳6

=12

=23

Therefore, the geometric mean of the numbers is 23.

c. The final answer is 10.

07

Step 1. Given information:

The given numbers are 4,25.

08

Step 2. Concept use.

The geometric mean between two numbers a and b is defined by the relation,

c=ab

09

Step 3. Applying the concept.    

By using the formula for the given numbers.

c=4脳25

=100

=10

Therefore, the geometric mean of the numbers is 10..

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