This week in Math 10 we went over entire and mixed radicals.

√80 is an example of an entire radical, the number is entirely under the root symbol.

2√20 and 4√5 are examples of mixed radicals.

Every mixed radical can be expressed as an entire radical, to determine if an entire radical (with an index of 2) can be expressed as a mixed radical we need to check if the number has a factor which is a perfect square.

This week in Math 10 we went over the process of finding the LCM (Lowest Common Multiple) and GCF (Greatest Common Factor)

Lowest Common Multiple

The LCM of two numbers is found by finding the prime factorization of your numbers. Then choosing out the common multiples between the two, the lowest of your common multiples will be your LCM.

Greatest Common Factor

The GCF of two numbers is found by finding the prime factorization of your numbers. Then multiply all common prime factors, take the lowest of the two exponents when you go to multiply the common factors together if common factors have exponents.

Take the common factors that has the lowest exponents and multiply them, the result is your GCF