simplify √ 200/49
To simplify √200/49, we can first simplify the numerator and denominator separately.
The square root of 200 can be written as √(100 * 2). Since the square root of 100 is 10, we have √200 = 10√2.
The denominator remains as 49.
Now, we can rewrite √200/49 as (10√2)/49.
However, this expression is already simplified as there are no common factors that can be simplified further.
Therefore, the simplified form of √200/49 is (10√2)/49.
√200/49
the fraction is a square root
To simplify the square root fraction √200/49, we can first simplify the numerator and denominator separately.
Let's start with the numerator √200. We can simplify this by finding the largest perfect square factor of 200. The largest perfect square factor of 200 is 100, since 10*10=100.
So, we can rewrite √200 as √100 * √2, which simplifies to 10√2.
Now, let's focus on the denominator 49. It is already a perfect square since 7*7=49.
Putting it all together, √200/49 simplifies to (10√2)/7.