what is the square root of 4√2 as a decimal place.
To find the square root of 4√2 as a decimal, we can break down the problem into two parts: finding the square root of 4 and finding the square root of √2.
First, let's find the square root of 4. The square root of 4 is 2 because 2 multiplied by itself (2 * 2 = 4).
Next, let's find the square root of √2. Remember that the square root of a number means finding the value that, when multiplied by itself, gives the original number. In this case, we have the square root of √2, which is the same as finding the square root of 2.
To approximate the square root of 2 as a decimal, we can use a calculator or a mathematical method called the long division method. However, the square root of 2 is an irrational number and cannot be expressed exactly as a decimal. It is approximately equal to 1.41421356.
Now, let's combine the results. The square root of 4√2 is 2 times the square root of √2, which is approximately 2 * 1.41421356 = 2.82842712. Therefore, the square root of 4√2 as a decimal is approximately 2.82842712.