1. What number multiplied by itself will give you the answer
Radicals
What number multiplied by itself will give you the answer
Undoing Expoenents

2. Square Root
Most basic Radical Undoing a squared number What number multiplied by itself Not always an integer Need to be able to approximate to at least 1 decimal Need to be able to simplify

3. Square roots
Should know perfect squares and square roots from 1 to at least 12

4. Radicals are just high degrees
Looking at the cube root of a number What number multiplied by itself 3 times 4th root – multiplied 4 times Usually the higher the root the more likely you need to use a calculator Should know some of the basic numbers raised to exponents and then rooted

5. Approximating Roots
Square root of 6 is between the perfect squares of 4 and 9 which are 2 and 3 6 is close to halfway between the two so the root should be close to halfway between 2 and 3 maybe a little lower because it is closer to 4 than to 9

6. Combining Radical
Add or Subtract Root needs to be the same Number under radical needs to be the same Just add or subtract the number in front Multiply Multiply the number in front of the radical Multiple the numbers under the radical Divide Divide the numbers in front of the radical Divide the numbers under the radical

7. Simplest Radical Form This will be like a mixed number
Part integer (in front of radical) part Radical
2 way
Break apart the number under the radical into one perfect square and another number, the perfect square can then be square rooted and written outside the radical, look at number under radical can it be done again
Make a prime factor tree, circle pairs of numbers, one number from each pair gets written outside the radical sign and multiple together, anything not circled gets multiplied and written under radical

8. Examples