| 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 216 Factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 Notice how 36 is the largest perfect square, so lets factor 216 into 36*6 So the expression ---------------------------- Check: Notice if we evaluate the square root of 216 with a calculator we get and if we evaluate This shows that |