Question

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Answer 1

To find the geometric mean of a pair of numbers, we need to multiply the numbers together and then take the square root of the product. In this case, we are given the pair of numbers 7 and 8.

1. Multiply the numbers together: 7 * 8 = 56.

2. Take the square root of the product: √56.

Now, let's simplify the square root of 56:

- 56 can be factored into 2 * 2 * 14.

- Taking the square root, we can simplify it as 2√14.

Therefore, the geometric mean of the numbers 7 and 8 is 2√14.

Answer 2

• 11. 2 sqrt(14)
• 12. 28

Task :

• To find the geometric mean

Solution :

#11

We know that,

• Geometric mean = √(x1 • x2)
• Geometric mean = √(7 • 8)
• Geometric mean = √(14 • 2 • 2)
• Geometric mean = 2√14

Thus ,the geometric of 7 & 8 would be 2 sqrt(14).

#12

• Geometric mean = √(x1 • x2)
• Geometric mean = √(16 • 49)
• Geometric mean = √(784)
• Geometric mean = 28

Thus,the geometric mean of 16 & 19 would be 28.

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