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
Murrr4er [49]
2 years ago
11

Square root of 5 + square root of 3 the whole divided by sqaure root of 5 - square root of 3

Mathematics
1 answer:
xxMikexx [17]2 years ago
3 0

Answer:

The answer is 4 + √15 .

Step-by-step explanation:

You have to get rid of surds in the denorminator by multiplying it with the opposite sign :

\frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  -  \sqrt{3} }

=  \frac{ \sqrt{5} +  \sqrt{3}  }{ \sqrt{5}  -  \sqrt{3} }  \times  \frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  +  \sqrt{3} }

=  \frac{ {( \sqrt{5} +  \sqrt{3} ) }^{2} }{( \sqrt{5} -  \sqrt{3} )( \sqrt{5}  +  \sqrt{3})  }

=   \frac{ {( \sqrt{5} )}^{2}  + 2( \sqrt{5} )( \sqrt{3}) +  {( \sqrt{3}) }^{2}  }{ {( \sqrt{5}) }^{2} -  { (\sqrt{3} )}^{2}  }

=  \frac{5 + 2 \sqrt{15} + 3 }{5 - 3}

=  \frac{8 + 2 \sqrt{15} }{2}

= 4 +  \sqrt{15}

You might be interested in
Three plane tickets to New York cost $2,472.If each plane ticket costs the same amount, about how much does one ticket cost?How
Verdich [7]

Answer:  824$ for each

and will have to discount 24$ for each ticket

Step-by-step explanation:  2472/3= 824

2400/3=800

824-800=24

7 0
2 years ago
What is the slope of the line graphed in the coordinate grid?
zvonat [6]

Answer:

3/4

Step-by-step explanation:

I drew a slope triangle and found the slope by finding the distance between two points on the line.

vertical distance/horizontal distance

Hope this helped!

5 0
3 years ago
What is 43.043 in expanded form
nordsb [41]
40+3+.04+.003 

expanded form is showing what you have to add together


3 0
3 years ago
Which of these is an equivalent expression for x-3 that uses positive exponents?
nignag [31]
Wait are you going to send a picture to fully show us what the question is about
5 0
3 years ago
Read 2 more answers
Charlotte has appointed a chairperson to lead a city beautification project. The first act is to install statues and fountains i
miskamm [114]

Answer:

Net Income of $6,800,000

Increase in Accounts Payable of $200,000

Decrease in Accounts Receivable of $800,000

Depreciation of $1,600,000

Increase in Inventory of $300,000

Other Adjustments from Operating Activities of $400,000

Assuming no other cash flow adjustments than those listed above, create a statement of cash flows with amounts in thousands....

Step-by-step explanation:

<h2>plz bhai mera answer ko brainliest kar do...</h2>
8 0
3 years ago
Other questions:
  • The length which equation will have the same solution as 3(2x – 1) 4x = 13? of a rectangle is 8 inches and the width is x inches
    14·1 answer
  • Given the equation y = 3x − 4, what is the value of y when x = 4?
    9·1 answer
  • 9.647 • 10 to the 7 power
    9·1 answer
  • Two examples that have a gcf of 8
    15·2 answers
  • "Trust is like paper, once it's crumpled it can't be perfect again" meaning what?
    12·1 answer
  • The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the
    11·1 answer
  • Elena went to a sporting goods store that
    10·1 answer
  • Find the slope in each line
    8·1 answer
  • PLS HELP ITS URGENT!
    5·1 answer
  • Instructions: Find the measure of the indicated angle to the nearest degree.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!