The product of the square roots of 23, 2, and 18 can be evaluated using the properties of square roots and multiplication. To find the product, we can first express it as follows:
Square Root Product:
√23 * √2 * √18
Using the property that the square root of a product is equal to the product of the square roots, we can combine them:
√(23 * 2 * 18)
Now let’s calculate:
- First, calculate the multiplication inside the square root:
23 * 2 = 46
46 * 18 = 828
So, we have:
√(828)
Thus, the expression simplifies to the square root of 828. This can be approximated further:
√828 ≈ 28.8
Some key points regarding this evaluation are:
- The exact product is expressed as the square root of 828.
- This product is a numerical value, which can be rounded based on the desired precision.
- Evaluating such products is essential in various mathematical applications, including geometry and algebra.
In conclusion, the true statement about the product of √23, √2, and √18 is that it simplifies to √828, which is approximately 28.8.