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
vekshin1
2 years ago
15

5.b) If z^(1/2)=x^(1/2)+y^(1/2) , show that (x+y-z)^2=4xy

Mathematics
1 answer:
Rudik [331]2 years ago
3 0

Answer:

Step-by-step explanation:

  • (x+y-z)²= 4xy
  • (x+y-z)²- 4xy = 0
  • (x+y-z)²-(2√x√y)² = 0
  • (x+y-z-2√x√y)(x+y-z+2√x√y) =0
  • [(√x-√y)²-z]*[(√x+√y)²-z]=0
  • (√x-√y)²-z = 0 or (√x+√y)²-z = 0

We have : z^(1/2)= x^(1/2)+y^(1/2) ⇒ √z = √x + √y ⇒ z = (√x + √y)²

  • so (√x+√y)²-z = 0

so (x+y-z)²= 4xy

You might be interested in
57000 x45 pls helppppppp​
Varvara68 [4.7K]

Answer:

2565000

Step-by-step explanation:

Easy, multiply them in a table.

3 0
2 years ago
Read 2 more answers
A local grocery story has strawberries on sale for $1.45 per pound. How much would it cost to buy 5.5 pounds of strawberries? Ro
myrzilka [38]

Answer: The cost of 5.5 pounds strawberries =$ 7.98

Step-by-step explanation:

Given: A local grocery story has strawberries on sale for $1.45 per pound.

i.e. Cost for 1 pound strawberries = $1.45

Now, Cost of 5.5 pounds strawberries =  5.5 x (Cost for 1 pound strawberries)

= $ (5.5 x  1.45)

= $ 7.975 ≈ $ 7.98   [ Round to the nearest penny]

Hence, the cost of 5.5 pounds strawberries =$ 7.98

5 0
2 years ago
Taja is a portrait artist. It takes 2 bottles of paint to make 6 paintings or 9 bottles of paint to make 27 paintings. How many
NISA [10]

Answer: 36

Step-by-step explanation:

6/2= 3 & 3x2=6  & 27/9=3 & 3x9=27 so you would multiply 3x12=36  so you would just multiply. and I'm a 6th grader.

3 0
3 years ago
Emily's account balance this Monday is -$8.35 . Her account balance last Monday was $15.75. Which statement explains how to find
Yanka [14]
The correct answer to determine the change in he account is by:

C. Subtracting last Monday's account balance from this Monday's account balance to find that the change in the balance is -$24.10.

Hope This helped :)
8 0
3 years ago
What to numbers can add up to 30 but multiply to 40?
saul85 [17]
<span>I believe your answer will be 10 & 20, because they BOTH are multiples of 40, ANNNNNNNNNNNNNNNNND when added together they equal 30! =D
I hope I helped! =D</span>
5 0
3 years ago
Other questions:
  • (30 POINTS ON THE LINE!) I need this now pls!
    5·2 answers
  • What is the result of multiplying 2.5x10^10 by 3.5x10^-2?
    7·2 answers
  • Help me with this look at the picture
    14·1 answer
  • In a survey of 400 randomly selected​ people, it was determined that 22 play soccer. What is the probability that a randomly sel
    14·1 answer
  • An example that illustrates speed
    7·1 answer
  • Are the following expressions equivalent? Why or why not? <br> 6(2x + 4) and 12x + 24
    7·1 answer
  • Which solid has one rectangular base and four lateral faces in the shape of triangles
    15·1 answer
  • Couldn't show it all but help​
    6·1 answer
  • The present year is 2014. Which year comes AFTER THE NEXT 3 years?
    7·2 answers
  • A number y​ is no less than "-4"
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!