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
Alik [6]
2 years ago
8

Rationalize the denominator and simplily.​

Mathematics
2 answers:
pychu [463]2 years ago
4 0

Answer:

Step-by-step explanation:

(a-b)² = a²-2ab + b²

(a+b)(a-b)=a²-b²

\frac{\sqrt{a+1} -2}{\sqrt{a+1}+2}= \frac{(\sqrt{a+1}-2)(\sqrt{a+1}-2 )}{(\sqrt{a+1}+2 )(\sqrt{a+1}-2)}\\\\

             =\frac{(\sqrt{a+1}-2 )^{2}}{(\sqrt{a+1} )^{2}-2^{2}}\\\\=\frac{(\sqrt{a+1})^ {2}-2*\sqrt{a+1}*2+2^{2} }{a+1-4}\\\\=\frac{a+1 - 4\sqrt{a+1}+4 }{a-3}\\\\=\frac{a+5-4\sqrt{a+1} }{a-3}

mote1985 [20]2 years ago
3 0

Answer:

( (√ a+ 1) − 2 ) ^2/a-3

Step-by-step explanation:

You might be interested in
Joan needs to estimate the size of her bedroom so that she can buy enough paint to cover the walls. Two of the walls measure 2.8
labwork [276]

The total area of the room is 37.6376 and the no. of cans required to paint the wall is 3 cans.

The measurement of two of the walls is 2.86 metres and 3.16 metre

Area of the two walls = 2(length x breadth)

Area = 2(2.86 x 3.16) = 18.0752 m²

The measurement of the other two walls is 2.86 metres and 3.42 metres

Area of the two walls = 2(length × breadth)

Area = 2(2.86 × 3.42) = 19.5624 m²

Total area = 18.0752 + 19.5624 = 37.6376 m²

If one can of paint can cover 15 m², the no. of cans required to paint the bedroom will be

No. of cans = Total area/Area covered by one can of paint

No. of cans = 37.6376/15 = 2.5091 = 3 cans (approx.)

3 0
1 year ago
In​ 2000, 49 %49% of the residents in a large city regularly used newspapers for getting news and this has decreased at an avera
kogti [31]

Answer:

  P(x) = -1.1x +49

Step-by-step explanation:

You are given the percentage in 2000 (for x=0) as 49, and told that its rate of change is -1.1 percent per year. So, with a slope of -1.1 and an intercept of 49, the slope-intercept form of the linear equation becomes ...

  P(x) = -1.1x +49

_____

The slope-intercept form for slope m and y-intercept b is ...

  y = mx + b

7 0
3 years ago
Find the length of the segment QS.(Enter the just the value, without any units.)
motikmotik

Answer:

QS = 15

Step-by-step explanation:

Thales

QS/QT = RS/PT

QS = QT·RS/PT

= 20×12/16

= 240/16

= 15

3 0
3 years ago
Read 2 more answers
How do you use the order of operations to simplify expressions with exponents
yaroslaw [1]
It could be PEMDAS.
That means solve by this order:
1). Parenthesis
2). Exponents
3). Multiplication
4). Division
5). Addition
6). Subtraction

To remember the order they say it like
this " Please Excuse My Dear Aunt Sally "




6 0
2 years ago
Plzzzzz answer need it plzzz I say
dexar [7]

Answer:

360 square inches

Step-by-step explanation:

12*15 = 360

7 0
3 years ago
Read 2 more answers
Other questions:
  • A parallelogram has a base of 7 inches and a height of 11 inches. What is the area?
    11·1 answer
  • The supplement of the measurement of an angle is 16 degrees less than three times the angle. Find the measurement of the angle a
    5·1 answer
  • 1.What is value of x?
    15·1 answer
  • Choose the list that shows these numbers in order from smallest to largest.
    9·1 answer
  • How many solutions does 2(x-3)=10x-6-8x
    7·1 answer
  • A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The
    6·1 answer
  • Which of the following is true?
    5·1 answer
  • Michelle wants ice cream and created a tree diagram to help her organize her options.
    12·2 answers
  • Write the equation of the graph shown below in factored form. the graph starts at the bottom left and continues up through the x
    15·1 answer
  • What is 1*727/3+6*2-5=? pIz help!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!