Watch the following video to understand the steps necessary when simplifying square roots.
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.