Math 10 Week #2

My class learned many things this week. One thing that we learned about was entire radicals and mixed radicals, how to convert one to the other, and vice versa.

 

 

An entire radical is just a square root with no coefficient: \sqrt{75}

A mixed radical is a square root with a coefficient: 5\sqrt{3}

To convert a mixed radical to an entire radical, you need to insert the coefficient into the square root. This is done by simply squaring the coefficient (Multiplying it by itself) and then multiplying it by whatever is inside the square root.

Take the square root 2\sqrt{3} for example. First, we square the coefficient, 2, so it becomes 2^2.

2^2 = 4. This then goes inside the square root and multiply the two numbers together to make \sqrt{12}.