The geometric mean of 2, 6, 8, 24 is
A. √48 = 4√3
B. 166
C. 24
D. 36
The geometric mean of 2, 6, 8, 24 is
A. √48 = 4√3
B. 166
C. 24
D. 36
Aniket Singh , 10 Months ago
Grade
10 grade maths> The geometric mean of 2, 6, 8, 24 isA. √4...
1 AnswersAskiitians Tutor Team
To calculate the geometric mean of the numbers 2, 6, 8, and 24, we need to follow these steps:
1. **Find the product of the numbers**:
Multiply all the numbers together.
Product = 2 * 6 * 8 * 24
2. **Calculate the product**:
First, 2 * 6 = 12
Then, 12 * 8 = 96
Finally, 96 * 24 = 2304
3. **Find the fourth root of the product**:
Since we have four numbers, we take the fourth root of the product.
The fourth root of 2304 is \( \sqrt[4]{2304} \).
4. **Simplify the fourth root**:
We can break this down to two steps:
First, find the square root of 2304.
\( \sqrt{2304} = 48 \).
Then, take the square root of 48:
\( \sqrt{48} = 4\sqrt{3} \).
Thus, the geometric mean of the numbers 2, 6, 8, and 24 is \( 4\sqrt{3} \).
**Answer: A. 4√3**
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