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
posledela
3 years ago
13

Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$

1%7D%2B%5Cdfrac%7B1%7D%7B%5Csqrt2-1%7D.%24" id="TexFormula1" title="Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$" alt="Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer:

Step-by-step explanation:

common denominator

(\sqrt(2)+1)(\sqrt(2)-1) = (\sqrt{2})^2-1^{2}=2-1 = 1

Add with common denominator

\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.

= \frac{{\sqrt2-1}}{1} + \frac{\sqrt2+1}{1}

=2* (\sqrt2)

You might be interested in
$1334 is deposited into a savings account at 8% interest, compounded quarterly. To the nearest year, how long will it take for t
Varvara68 [4.7K]

Answer:

  84 years

Step-by-step explanation:

The future value of an investment is given by ...

  FV = P(1 +r/n)^(nt)

where P is the principal amount, r is the annual rate, and n is the number of times per year interest is compounded. Filling in the given values and solving for t, we get ...

  1000000 = 1334(1 +.08/4)^(4t)

  749.6252 ≈ 1.02^(4t) . . . . divide by 1334 and simplify

  log(749.6252) ≈ 4t·log(1.02) . . . . take logarithms

  t ≈ log(749.6252)/(4·log(1.02)) ≈ 83.57

It will take about 84 years for the account balance to reach $1,000,000.

5 0
4 years ago
You spin the spinner shown below once. The spinner has 444 equal sectors colored pink, purple, blue, and green.
Molodets [167]

hola'

your answer is going to be 2.22 or 0.002 i think .

6 0
3 years ago
Read 2 more answers
What is the sum of the numbers as the product of their greatest common factor and another sum of 56+64
morpeh [17]
120 bc 55+64= 120 so that's because of that
5 0
4 years ago
What is the number of distinguishable permutations of the letters in the word, POTATO
MaRussiya [10]

Answer:

720

Step-by-step explanation:

Potato has 6 letters

6!/2!×2!

6×5×4×3×2/2×2

6 0
3 years ago
Help plz and thanks
rodikova [14]

Answer:

6b

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • A pair of shoes cost $120 but they are 25% Off;
    6·1 answer
  • The pie chart to the right shows how adults rate their financial shape. suppose 4 people are chosen at random from a group of 12
    9·1 answer
  • You are in charge of buying the hamburgers and chicken for a party. The hamburgers cost $2 per pound and the chicken is $3 per p
    14·1 answer
  • Equilateral triangles are triangles . ​
    6·2 answers
  • Exsplain too please, how has your day been btw?
    13·2 answers
  • Can sombody please help me with this math problem?
    15·1 answer
  • A cable hangs between two poles of equal height and 3737 feet apart.
    5·1 answer
  • Stem<br> a<br> choice<br><br> b<br> choice<br><br> c<br> choice<br><br> d<br> choice
    12·1 answer
  • Sally works at a store.
    9·1 answer
  • What is the domain of the function? <br>Function Wrap up review questions PLZ HELP
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!