| Solved by pluggable solver: Simplifying Square Roots (whole numbers only) |
The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. When you take the square root of this perfect square, you will get a rational number. So let's list the factors of 500 Factors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500 Notice how 100 is the largest perfect square, so lets factor 500 into 100*5 So the expression ---------------------------- Check: Notice if we evaluate the square root of 500 with a calculator we get and if we evaluate This shows that |