Knowing your square root Take a look at the problem you have been given In a minute you will be able to define The radicand The radical The principal root Both roots
The radical Number or expression goes here
The radicand Number or expression goes here
Taking the square root Take the square root of your card In other words, think about what perfect square would give you the radicand That is the result of your square root It has both a positive and a negative answer Why?
The principal root While your square root has a positive and negative answer, the principal root is the positive answer.
Find Someone Who Can Tell You Find someone in the room to answer the question on the sheet. Have them write their response in, and initial their answer. You should answer one of their questions while they answer yours.
You need to know your perfect squares!
Simplifying
Process for Simplifying 1 st- Look for the largest perfect square that is a factor 2 nd Factor, using the perfect square as one of the factors 3 rd- Take the square root of the perfect square that is a factor 4 th- Write the square root as a factor in front of the radical and leave the other factor under the radical. If there is another factor in front of the radical, multiply the square root by it.
Example Time!
Your Turn…Simplify!!!
Simplifying with Variables As a general rule, divide the exponent by 2. The remainder stays in the radical.