| 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 1215 Factors: 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215 Notice how 81 is the largest perfect square, so lets factor 1215 into 81*15 So the expression ---------------------------- Check: Notice if we evaluate the square root of 1215 with a calculator we get and if we evaluate This shows that |