Whats 3 square root 64
The Correct Answer and Explanation is:
The square root of 64 is 8, so when you multiply that by 3, the final result is:
[ 3 \times \sqrt{64} = 3 \times 8 = 24 ]
Explanation:
The operation being asked is to find ( 3 \times \sqrt{64} ). Let’s break it down step by step:
- Understanding the Square Root:
The square root of a number ( x ) is the number ( y ) such that when ( y ) is multiplied by itself (i.e., ( y \times y )), it equals ( x ). Mathematically, this is expressed as: [
y = \sqrt{x} \quad \text{if} \quad y \times y = x
] So, for ( \sqrt{64} ), we are looking for a number that, when multiplied by itself, gives 64. The number is 8 because: [
8 \times 8 = 64
] - Multiplying by 3:
Once you have found the square root of 64, which is 8, the next step is to multiply this value by 3. This step simply follows the basic rule of multiplication: [
3 \times 8 = 24
] - Conclusion:
Therefore, the result of ( 3 \times \sqrt{64} ) is 24. This is a simple example of how to use square roots and multiplication together in a problem.
In summary, the square root of 64 is 8, and when you multiply this by 3, the result is 24. This involves basic operations in algebra, using square roots and multiplication, which are fundamental concepts in mathematics.