| properties/rules of radicals | Multiplying and dividing radicals / Equations containing radicals/ quadratic equations | Binomials containing radicals | Complex fractions | Adding and subtracting radicals |
|---|---|---|---|---|
|
If you want to combine radicals, it must be multiplication and must have the same subscript.
How to combine radicals?
|
A: To solve
Q: What is the goal when there is an equal sign?
|
A: opposite sign, but same numbers
Q: What is a conjugate?
|
A: Multiply by the reciprocal.
Q: How do I get rid of my fraction sign?
|
Like terms are terms with the same variable attached to them (ex. 2x, 4x). They can have different coefficients.
What are like terms?
|
|
Yes, you first need to make them the same base. Them, because you need to combine the exponents, you add them. Must make sure their denominators are the same. Then simplify.
Can you combine the square root of 8 and the cubed root of 4?
|
A: root both sides
Q: How do you isolate the radical in an equation?
|
A:To cancel out the root and have a less messy number
Q: why do we use conjugates when simplifying binomials?
|
2
Q: 1- ⅓ / ½ -⅙
|
No, they are not like terms
When the numbers inside the radicals are different, can you add the numbers on the outside?
|
|
No
Can you have a root as a denominator?
|
A: plus and minus
Q: What must you put in front of an answer if it was squared?
|
A: 4+ root 2
Q: what is the conjugate of 4- root 2?
|
A: Look at the the top and bottom separately and start simplifying each
Q: How should you start simplifying your complex fractions?
|
Simplify
What is the goal when adding and subtracting radicals?
|
|
A: First simplify the cubed root of 8. (2) Now square that number= 4.
How do you turn the cubed root of 8^2 into a fractional exponent?
|
A: 1) the roots need to be being multiplied 2) they need to have the same ‘subscript’ or root
Q: What are two conditions you need to multiply radicals
|
iA: (3+root7) (3-root7) >>> 3^2 - root7^2 >>> 9-7=2s
Q: simplify> (3+root7) (3-root7)
|
A; 4
Q: 1-⅘ / ¼ -⅕
|
You can add the numbers outside the radicals. You take one of the numbers of the two that are the same and leave it.
If a problem has the same number in the radicals, can you add/subtract them?
|
|
A: No, you must pull out an “i”
Can a square root have a negative?
|
A: you put it in parentheses and put it to the power that the root is. For example, 2 ∛x = 4 -the first step would be to times the 2 ∛x to the third power and 4 to the third power
Q: When there is an equation with radicals, how do you get rid of the radical?
|
A: >>> mult by conjugate 1/(4-root3) . (4+root3/ 4+root3) = 4+root3/ (4-root3)(4+root3) >>> 4^2 - root3^2 >>> 16-3=13 >>> 4+root3/ 13
Q: 1/(4-root3)
|
the LCD
Q: Do you find the LCD or the LCM for these problems?
|
No, they are not like terms (the numbers inside the radicals are different.
Can you add these? Why or why not? 2√3 + 3√5?
|
Support Us on Ko-fi