Category: Uncategorized
Week 5-Radical Equations
Add the square root of the same coefficient
ex: 1-3√5x=-3-2√5x
-3√5x+2√5x=-3-1
-√5x=-4
Than use the way that square both sides of this to get rid of the square root
5x=16
x=16/5
Review
[Than multiply both the top and the bottom by a number , which is goodfor removing the square root of the denominator((
=
=
=
=
Week 4 -Adding and subtracting radical expressions
When you simplify your radicals down, you can only add common radicals together. When you’re adding or subtracting radicals, the radicand always stays the same, which is why you need to have a common radicand. Once you’ve collected common radicals you you either add or subtract the co-efficients together depending on the sign
EX:3√5+6√5（They have same radicand）=9√5
We also learned how to make it simplify
You have to simplify the number in the root as much as you can by multiplying it by several equal numbers
EX:square root：√64=√4*4*4=4√4
cube root： ³ √81=³√3*3*3*3=3 ³√3
it makes you can better to add up some numbers with the root
see the picture
Week 3 Absolute Value and Radicals
√25=5
The absolute value of a real number is defined as the principal square root(√25) of the square of a number.
EX:|9|=3 ,|-9|=3
√9²=√81=9=|9|=|-9|
√（-9）²=√81=9=|9|=|-9|
Simplifying Radical Expressions
Coefficient√Radicand
Square roots :ex ²√16=4
Roots(-other roots)[
Cube roots :ex³√27=3
Warn：²√x （x≥0）restriction
³√x （x∈R）restriction