Question 189375
Let sqrt = square root for short

sqrt{200} = two numbers (one of them is a perfect square) that when multiplied together will give you 200.

How about 100 times 2?

You see, 100 is a perfect square because 10 times 10 = 100.

We have sqrt{200} = sqrt{100} times sqrt{2}.

What is the square root of 100?

It is 10, right?

So, this means that the sqrt{100} = 10.

Now, the square root of 2 is already in lowest terms and so, it cannot be reduced anymore.

Your final answer is: 10(sqrt{2}).