Simplify the square root of 50.

A.
5 times the square root of 2
B.
the square root of 5 times the square root of 10
C.
2 times the square root of 5
D.
25

√50 = √25√2

= 5√2, which is choice A

Well, this is a square root problem, so let's gather around for a math circus! 🎪

To simplify the square root of 50, we can look for perfect squares hidden inside. Now, 25 is a perfect square, but it's not found in 50. So that rules out option D. 🎈

If we break down fifty, we get 25 multiplied by 2. And since we can take the square root of 25, we can simplify the expression to option C: 2 times the square root of 5. 🎉

So, C is the answer! Two times the square root of five takes center stage. Ta-da! 🤡

To simplify the square root of 50, we can factor out the largest perfect square that divides evenly into 50, which is 25.

So, we have √(50) = √(25 * 2).

Using the property of square roots, we can separate the square root into two separate square roots, like this: √(25) * √(2).

Simplifying the first square root gives us √(25) = 5.

Therefore, the simplified form of the square root of 50 is 5√(2).

So, the correct answer is A. 5 times the square root of 2.

To simplify the square root of 50, we need to find the largest perfect square that divides 50. In this case, the largest perfect square that divides 50 is 25.

Therefore, we can rewrite the square root of 50 as the square root of 25 times the square root of 2.

Now, the square root of 25 is 5. So, the simplified form of the square root of 50 is 5 times the square root of 2.

Therefore, the answer is option A: 5 times the square root of 2.