Watch the following video to understand the steps necessary when simplifying square roots. Double-click the play button to start the video. To simplify expressions with radicals, follow these simple steps: • Write the radicand (the number underneath the radical sign) as a product of prime numbers. For larger numbers you can write the factor tree to find the prime factorization. • In this prime factorization identify pairs of equal numbers. • For each such pair, take one number in front of the radical sign and do not write the other equal number at all. • Multiply the remaining factors underneath the radical sign. If you want to learn more about perfect squares click here. To learn an algorithm for finding the square root of a large number without using a calculator,click here. Return from Simplifying Square Roots to Free Math Videos Online or to Algebra Square Roots.