Find the square of √200.
The square of √200 can be found by multiplying √200 by itself.
√200 * √200 = √(200 * 200) = √40000 = 200
So, the square of √200 is 200.
To find the square of √200, we can simply multiply √200 by itself.
Step 1: Simplify √200
√200 can be simplified by factoring out perfect squares. The square root of 200 can be written as the square root of 100 times the square root of 2.
√200 = √(100 * 2) = √100 * √2 = 10√2
Step 2: Square the simplified expression
Now that we have simplified √200 to 10√2, we can square it.
(10√2)^2 = 10^2 * (√2)^2 = 100 * 2 = 200
Therefore, the square of √200 is 200.
To find the square of √200, we can follow these steps:
1. First, simplify the square root of 200. Since 200 can be written as the product of a perfect square and a number, we can write it as 200 = 100 * 2. Thus, √200 = √(100 * 2).
2. Applying the property of square roots, we can split the square root of a product into the product of the square roots of each factor: √(100 * 2) = √100 * √2.
3. The square root of 100 is a whole number, which is 10, so we have: 10 * √2.
4. Finally, to find the square of √200, we square the simplified expression 10 * √2: (10 * √2)^2 = 10^2 * (√2)^2 = 100 * 2 = 200.
Therefore, the square of √200 is 200.