Algebra 1
Simplify the radical
_____
5_/700
I'm confused on what to do with the 5...
5√700
= 5√(100*7)
= 5(√100)(√7)
= 5*10 √7
= 50√7
Thank You!!
This really helped me!!
To simplify the radical, you'll need to break down the number inside the radical into its prime factors and then simplify the expression.
Let's start by finding the prime factors of 700.
700 can be written as 2 * 2 * 5 * 5 * 7.
Now, rewrite the original expression:
√(700) = √(2 * 2 * 5 * 5 * 7)
Since there is a 5 outside the radical, you can simplify the expression:
5√(2 * 2 * 5 * 7)
Now, you can simplify further by multiplying the numbers inside the radical together:
5 * 2 * 2 * √(5 * 7)
Simplifying further:
20√(35)
Therefore, the simplified radical of 5√(700) is 20√(35).