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 32 Factors: 1, 2, 4, 8, 16, 32 Notice how 16 is the largest perfect square, so lets factor 32 into 16*2 So the expression ---------------------------- Check: Notice if we evaluate the square root of 32 with a calculator we get and if we evaluate This shows that |