INT MATH- WU
Square roots: pg. 576 Algebra Text
To find the square root of a number you are looking for the ROOT a number that times itself gives you the RADICAND (number under the radical)
You know these.....
Finding the sum or difference of radical expressions
****WHEN the radicand is the same
**ALL you have to do is match up the radicals and "do the math" with the coeficients (if there is NO coefficient-­-­ it is an invisible 1)
EX.
Try these
TRY these and AGAIN notice they have like terms to be combined with
TO SUMMARIZE:
When Adding or subtracting terms that have LIKE
Radicands......
ALL you do is + or - the COEFFICIENTS
Radical and radicand RIDE ALONG into the answer
BEFORE we go further:
Simpliest radical form
Simplify
Simplify each radical
Simplify by factoring
Simplify and Round to the nearest.....
Great job.....now lead into the harder ones....
SIMPLIFYING radicals!!!!
1. Find the factors
2. look for the SET that has the greatest perfect square
3. SQUARE root the one you KNOW, leave other underneath radical
4. DOUBLE check that the number you left underneath CANNOT be simplified again
Examples SIMPLIFYING Radicals
TRY these...Can you do the ones with the variables????
WU-­ copy and complete
COPY and simplifythe radical-­-­-­-­remeber NO DECIMALS
√125
√21
√28
√54
To summarize:
Simplifying radicals:
* Find the factors of the radicand
* USE the factor pair that has a Perfect Square
* Square root the Perfect Square--PUT that
number OUT FRONT of the radical
* Leave the other one alone underneath
HW answers
NOW we are going to combine adding and subtracting rational expressions WITH simplifying them
Can you simply add these together???
8√6 + 3√24
Adding/subtracting UNLIKE rational expressions
1. SIMPLIFY each radical (if necessary) until you have the SAME radical or root under the root sign
2. WHATEVER you bring out of the radical make sure to MULTIPLY it by the coeffiecent
3. WHEN radicals are the SAME
***Add or subtract the coeffiecents
4. Write as ONE expression -­-­don't forget the radical part
Example:
INT MATH WU- page 3 in packet
A.N.3
MULTIPLYING Radicals......
This is Easier......
****You CAN multiply unlike terms
JUST make sure to simplify if need be
Multiplying (with stuff on outside too):
DIVISION of radicals
1. break into 2 problems
2. simplify the radicals if you can
3. rewrite as a fraction (divison problem)
4. Cancel out like terms
5. What is left is the answer
DIVIDING (with stuff on outside too)
Let's try some...
Copy and complete
Simplifying radicals with variables