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
asambeis [7]
3 years ago
5

Rationalize

tle="1 \div \sqrt{}3 - \sqrt{2} " alt="1 \div \sqrt{}3 - \sqrt{2} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Marat540 [252]3 years ago
8 0

Answer:

1 \div \sqrt{}3 - \sqrt{2}

\frac{1 -  \sqrt{2} \sqrt{3}  }{ \sqrt{3} }

\frac{(1 -  \sqrt{6}) \sqrt{3}  }{ \sqrt{3} \sqrt{3}  }

\frac{ \sqrt{3}  -  \sqrt{6 \times 3} }{3}

\frac{ \sqrt{3} -  3\sqrt{2}  }{3}

is a required answer.

You might be interested in
Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account
Diano4ka-milaya [45]

Answer:

\$180.55

Step-by-step explanation:

step 1

<u><em>Simple interest</em></u>

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04

substitute in the formula above

A=2,250(1+0.04*10)

A=2,250(1.4)

A=\$3,150

step 2

<u><em>Interest compounded annually</em></u>

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1

substitute in the formula above

A=2,250(1+\frac{0.04}{1})^{1*10}  

A=2,250(1.04)^{10}  

A=\$3,330.55

step 3

Find the differences between the two final amounts

A=\$3,330.55-\$3,150=\$180.55

5 0
3 years ago
What is the area of the shaded region? (Use 3.14 for Pi) *
love history [14]

Answer:

The area of the shaded region is the difference between the areas of the rectangle and the square.

Step-by-step explanation:

8 0
3 years ago
a wheelchair ramp is 9 feet long and sits 2.5 ft high. how long will a similar ramp be if it sits 1.5 ft high from the ground
bixtya [17]
The second ramp should be 5.4 ft long

6 0
3 years ago
On sunday 1/16 of the people who visited for senior citizens, 3/16 or infants, 3/8 were children, and 3/8 for adults. How many o
Trava [24]
1/16=1,003, so

senior= 1003
infants=3009
children=6018
adults=6018
3 0
3 years ago
Read 2 more answers
1/5+1/4+2/5 this is adding fractions with unlike denominators what is the answer
attashe74 [19]
What you would do is change all the fractions to 20ths so they have a common denominator. For 1/5, you multiply 4x5 to get 20 in the denominator. Whatever you multiply on the bottom, you must do at the top. Do that for all fractions and you would get this:
4/20 + 5/20 + 8/20= 17/20 because denominator stays the same, add the values in the numerator.
ANSWER: 17/20
5 0
3 years ago
Other questions:
  • What is the slope for the equation y=7?<br> A. -7<br> B. 7<br> C. undefined <br> D. 0
    9·2 answers
  • Michael Jackson's "Thriller" album has sold 29,000,000 copies. This number can be written as n x 107.
    15·2 answers
  • Which statement can be used to prove whether the conjecture is true or false?
    15·1 answer
  • You reach into a bag of 12 brown, 6 orange, 4 green, and 2 red candies and take one out. Find the probability of orange. What ar
    11·1 answer
  • What is the sum of the series? 4 ∑k=1 (2k^2−4)
    14·1 answer
  • Sarah's rectangular garden has a perimeter of 327 +327 +218 +28 cm.
    11·2 answers
  • Which formula gives the x-coordinates of the maximum values for y = cos(x)?
    10·1 answer
  • 10. Susan will take out a loan for $7500 to buy a used car. The simple
    10·1 answer
  • Find the value of each variable that makes the equation true.
    13·1 answer
  • Upper bound&amp;Lower bound <br>please help​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!