Will someone please help me solve this problem.
Simplify by factoring.
�ã250
this is a radical sign in front of 250.
is would be 5 square roots of 10.
If that is a radical sign, then your answer is right.
Sure, I can help you with that.
To simplify a radical expression, we need to find the factors of the number under the radical sign (250 in this case) and see if any of them can be simplified or taken out.
Step 1: Find the factors of 250.
The factors of 250 are: 1, 2, 5, 10, 25, 50, 125, and 250.
Step 2: Look for perfect square factors.
We are looking for factors that are perfect squares. A perfect square is a number that can be obtained by multiplying two identical numbers together, such as 4 (2 × 2) or 25 (5 × 5).
In this case, we see that 25 is a perfect square factor of 250 (25 × 10 = 250). So we can take it out of the radical.
Step 3: Rewrite the expression with the perfect square factor outside the radical.
The square root of 250 can be rewritten as the square root of 25 times the square root of 10.
So, √250 = √(25 × 10)
Step 4: Simplify the perfect square factor.
The square root of 25 is 5.
√250 = 5√10
Therefore, the simplified form of √250 is 5√10.
I hope this explanation helps you understand how to simplify a radical expression by factoring. Let me know if you have any further questions!