Find a Perfect Square. Perfect squares are numbers that are equal to a number times itself.
Rewrite the Square Root. Next,use the perfect square you just found to rewrite your square root as a multiplication expression.
Pull the Square Root Apart.
Reduce the Perfect Square.
Double-check.
Complete Any Extra Multiplication.
How do you simplify square roots?
Understand factoring. The goal of simplifying a square root is to rewrite it in a form that is easy to understand and to use in math problems.
Divide by the smallest prime number possible. If the number under the square root is even,divide it by 2.
Rewrite the square root as a multiplication problem. Keep everything underneath the square root sign,and don’t forget to include both factors.
Repeat with one of the remaining numbers. Before we can simplify the square root,we keep factoring it until we’ve broken it down into two identical parts.
Finish simplifying by “pulling out” an integer. Once you’ve broken the problem down into two identical factors,you can turn that into a regular integer outside the square root.
Multiply integers together if there are more than one. With some large square roots,you can simplify more than once.
Write “cannot be simplified” if there are no two identical factors. Some square roots are already in simplest form.
How do you calculate square roots?
In order to calculate the square root of a non-perfect square number, first find two perfect squares between which the number lies. Second, divide the number by one of the two square roots. Thirdly, take the average of the result and the root to discover the answer.
How do you simplify a square root expression?
To simplify a square root, start by dividing the square root by the smallest prime number possible. Then, rewrite the square root as a multiplication problem under the square root sign. Keep factoring the numbers until you have 2 identical factors. Then, finish simplifying by pulling out an integer.
