1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MaRussiya [10]
3 years ago
5

Can someone explain (with steps) how to rationalize the following expression?

Mathematics
1 answer:
insens350 [35]3 years ago
6 0
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
(-x^2-y^2-2xy+2)(x+y-2)^(1/2)/(x+y-2)^(1/2)(x+y-2)^(1/2)
(Rationalize denominator by multiplying both top and bottom by sqrt)
(-x^2-y^2-2xy+2)((x+y-2)^(1/2))/(x+y-2)
(The function is now rational)
=(-x^2-y^2-2xy+2)(sqrt(x+y-2))/(x+y-2)
You might be interested in
2L plus 2L plus 1.5L plus 2.5L=8L just making shore it is right?
julia-pushkina [17]

Answer: yes you are right hope this helped

plz make brainly

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Any help is appreciated!!!!!!
Otrada [13]

Answer:

d

Step-by-step explanation:

ddddddddddddddddddddddddddfffffdff

6 0
3 years ago
Read 2 more answers
What is the slope of the line threw (-7,-2) and (-6,7)
miv72 [106K]

Answer:

9

Step-by-step explanation:

To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:

m=\frac{y_2-y_1}{x_2-x_1}

Here the points are (-7,-2) and (-6,7). Substitute and simplify.

m=\frac{7--2}{-6--7}=\frac{7+2}{-6+7}=\frac{9}{1}=9

3 0
3 years ago
(1.5 ? 10^2) X (2.0 ? 10^3) Express your answer in scientific notation and standard form.
ludmilkaskok [199]

Answer: 3*10^5 or 300,000 cant remember witch one it is

Step-by-step explanation:

1.5*10^2= 150

2*10^3=2,000

150*2000=300,000

3*10^5

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20-%20y%20%3D%20%5Cfrac%7B2%7D%7B5%7Dx%20-%203" id="TexFormula1" title=" - y = \frac{2}{5}x -
raketka [301]
The first step to solving this equation is to change the signs on both sides of the equation
y = -\frac{2}{5}x + 3
Since we don't know what x is but we do know why y is,, we will write our answer with the answer to y and x being left as undefined.
y = -\frac{2}{5}x + 3, x ∈ R
Let me know if you have any further questions
:)
5 0
3 years ago
Other questions:
  • A pinwheel design for a quilt is shown at the right. Each square of the design has a side length of 3 inches. May someone help m
    6·1 answer
  • Determine the rate of change for 6y=8x-40
    13·1 answer
  • Calculate the area of a circle with diameter of 6cm
    11·1 answer
  • Mrs dayson diveded her collection of 52 glass bear into equal groups sha had 1 bear left over how manny groups did Mrs dayson ma
    7·1 answer
  • Montel sold 13 popcorn buckets and 13 fruit baskets for a fundraiser. The fruit baskets cost $20.75 each. If Montel raised a tot
    6·1 answer
  • Add. Write your answer in simplest form.<br> 2/15 + 2/15
    7·2 answers
  • Whoever Answers Ill Mark Brainliest! Use a model to divide 2/5 divided by 4 Express the answer in simplest terms.
    10·2 answers
  • What is the answer? <br> 8 x 1/2 = ______
    11·2 answers
  • Helppp quick quick 15 points
    7·2 answers
  • Given sin⁡θ=1/2 determine the value of sec θ. 0°&lt;θ&lt;90°
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!