Find the square root of 250.
1. 250
2. 5√10
3. 25√10
4. 10√5
The square root of 250 is 5√10, so the correct option is 2.
To find the square root of 250, we can simplify it.
First, we notice that 250 is equal to 25 multiplied by 10.
So, √250 can be written as √(25 * 10).
Using the property of square roots, we can separate them, like this: √25 * √10.
Now, the square root of 25 is 5.
Therefore, √250 = 5 * √10.
So, the correct answer is 2. 5√10.
To find the square root of 250, you can use a calculator or simplify the number manually. Let's break it down step by step:
1. Start by finding the prime factorization of 250. The prime factorization of 250 is 2 * 5^3.
2. Next, group the prime factors in pairs: one factor inside the square root symbol (√) and one factor outside.
In this case, we have one pair of 5's. So we can write the square root of 250 as √(5^2 * 2).
3. Now, simplify the roots:
√(5^2) is equal to 5, so we can rewrite the expression as 5√2.
Therefore, the square root of 250 can be written as 5√2.
So the correct answer is option 2: 5√10.