Find the geometric mean of 2 Square root of 6 and 3 square root of 6

The geometric mean of 2√6 and 3√6 is 6

The geometric mean of 2√6 and 3√6 is expressed as:

Simplify the result to hav:

GM = √2*6*3

GM = √36

GM = 6

Hence the geometric mean of 2√6 and 3√6 is 6

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Option B:

Geometric mean of is 6.

Solution:

Given data:

Geometric Mean is a average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc.

Let us multiply .

                  = 6 × 6

                  = 36

Now, taking square root for the product.

                     =

                     = 6

Geometric mean of is 6.

Option B is the correct answer.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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answer: true

step-by-step explanation: