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
katen-ka-za [31]
4 years ago
10

Just rationalize and simplify

Mathematics
2 answers:
aksik [14]4 years ago
7 0

\mathsf{Given :\;\;\dfrac{\sqrt{a + 1} - 2}{\sqrt{a + 1} + 2}}

\mathsf{Multiplying\;Numerator\;and\;Denominator\;with\;\sqrt{a + 1} - 2,\;We\;get :}

\mathsf{\implies \dfrac{(\sqrt{a + 1} - 2)(\sqrt{a + 1} - 2)}{(\sqrt{a + 1} + 2)(\sqrt{a + 1} - 2)}}}

\mathsf{\implies \dfrac{(\sqrt{a + 1} - 2)^2}{(\sqrt{a + 1})^2 - (2)^2}}}

\mathsf{\implies \dfrac{(\sqrt{a + 1})^2 + (2)^2 - 2(\sqrt{a + 1})(2)}{a + 1 - 4}}}

\mathsf{\implies \dfrac{a + 1 + 4 - 4\sqrt{a + 1}}{a + 1 - 4}}}

\mathsf{\implies \dfrac{a + 5 - 4\sqrt{a + 1}}{a - 3}}}

Fantom [35]4 years ago
6 0

Answer:

(a+5)-4√(a+1) /(a-3)

Step-by-step explanation:

√(a+1) - 2 / √(a+1) + 2

={√(a+1) - 2 }{√{(a+1) - 2 }  / {√(a+1) + 2} {√(a+1) - 2 }

={√(a+1) - 2 }² / {√(a+1)}² - 2²

=[ {√(a+1)}² -4√(a+1) +4 ] / a+1-4

=[a+1-4√(a+1)+4] / (a-3)

=(a+5)-4√(a+1) /(a-3)

You might be interested in
Ed buys a vase for £24 and adds 25% onto the price before putting it into his shop window.
hoa [83]
The price-tag say 30 £
6 0
3 years ago
A Pac-Man poster is the shape of three-fourths of a circle with a diameter of 18 inches and two sides that are 9 inches each. Wh
slava [35]

Answer:

60.39 inches

Step-by-step explanation:

Given that:

A Pac-Man poster which is having three fourth of a circle and there are two sides.

Diameter of circle = 18 inches

Sides of Pac-Man poster = 9 inches

To find:

Perimeter of the Pac-Man poster.

Solution:

Perimeter of a figure is nothing but equal to the periphery i.e. the outer area of the circle/figure.

Perimeter of a circle is given by the formula:

Perimeter = 2\pi r

r is the radius of the circle.

Radius is half of perimeter.

r=\dfrac{18}{2} = 9\ inches

Perimeter of the Pac-Man poster = Perimeter of \frac{3}{4} circle + 2 sides

Perimeter of the Pac-Man poster = \frac{3}{4}\times 2\times \pi \times 9  + 9+9 = 42.39+28 = <em>60.39 inches</em>

7 0
3 years ago
What is the value of x?
Sedaia [141]

Answer:

  x = 7 cm

Step-by-step explanation:

The two triangles are similar so ...

  x/(6 cm) = (42 cm)/(36 cm)

Multiplying by 6 cm, you get ...

  x = (6 cm)(42 cm)/(36 cm) = (6 cm)(7/6)

  x = 7 cm

3 0
4 years ago
5 apple pies ,you need about 2 pounds of apples. How many pounds of apples do you need to make 20 apple pies
quester [9]
8; 20/5=4, 4*2=8 so therefore it's 8 pounds
4 0
4 years ago
Read 2 more answers
When rounded to the nearest tenth, which of the following values equals 9.4?
Gre4nikov [31]

Answer:

i think B would be accurate

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Other questions:
  • You have seventy-nine $10 chips. The chips have a value of $ ??
    5·1 answer
  • Can someone help me with this equation please.Thank you!
    8·2 answers
  • Michelle tried to solve an equation steb by step
    9·2 answers
  • 3. Mrs. Noah’s bill, before tax, is $50. The sales tax rate is 3%. Mrs. Noah decides to leave a 2% tip for the gate keeper based
    10·1 answer
  • PLEASE SOMEONE HELP ME ASAp
    6·2 answers
  • 4. The area of one face of a cube is 121 square inches. Find the volume of<br> the cube.
    6·1 answer
  • The original price of a coat is $90. It is on sale for 20% off. How much will you pay if you buy the cost during the sale?
    15·2 answers
  • What is the value of m?
    9·2 answers
  • What is the square root of A=121 ft2
    10·1 answer
  • Which is in an equation of the line through (0,0) and (-8,-5)?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!