Radicals Quiz Study Guide

The number out front that is being multiplied. If it doesn't give us a coefficient than the number is two. The coefficient is the BIG NUMBER!

Coefficient

The numbers on the OUTSIDE!

Coefficients

A number which indicates which root is desired of the number under the radical. If it doesn't have an index the number is automatically 2! If the index doesn't match then the problem is complete. Your index MUST MATCH! The index is the LITTLE NUMBER!

Index

1) if it doesn't give us a coefficient the number is ONE! 2) if there is NO INDEX then it MUST ALWAYS be TWO! 3) if the index DOES NOT MATCH then the problem IS DONE! 4) if you circle ONE GROUP you ONLY WRITE IT ONCE! 5) multiply the two numbers to figure out the top number! 6) you can only circle one pair if it has one group of two 7) you can circle one trio because it has one group of three

Key Points!

A number which divides to repeat three times. Ex: 2 times 2 times 2 equals 8

Perfect Cube

A number which divides to repeat. Ex: 2 times 2 equals 4

Perfect Square

2, 3, 5, 7, 11, 13, 17, 19, 23, 29 4 IS NOT PRIME!

Prime Numbers

Can only be divided by one and itself.

Prime Numbers

1) create a factor tree (list of prime numbers) 2) circle pairs (or groups of numbers of index) 3) pairs move outside 4) simplify outside and inside by multiplying

Radicals STEPS

The numbers on the INSIDE!

Radicands