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
Radda [10]
2 years ago
10

Solve the following surd given below (1-√5)÷(1+√5)​

Mathematics
1 answer:
Shkiper50 [21]2 years ago
4 0

\dfrac{1-\sqrt 5}{1+\sqrt 5}\\\\\\=\dfrac{\left( 1- \sqrt 5\right)\left( 1- \sqrt 5\right)}{\left( 1+ \sqrt 5\right)\left( 1- \sqrt 5\right)}\\\\\\=\dfrac{\left( 1-\sqrt 5)^2}{1^2 - \left(\sqrt 5 \right)^2}\\\\\\=\dfrac{1+\left(\sqrt 5 \right)^2 -2 \sqrt 5\cdot 1}{1-5}\\\\\\=\dfrac{1+5-2\sqrt 5}{-4}\\\\\\=-\dfrac{6-2\sqrt 5}{4}\\\\\\=-\dfrac{2\left(3-\sqrt 5 \right)}{4}\\\\\\=-\dfrac{3-\sqrt 5}{ 2}\\\\\\=\dfrac{\sqrt 5 -3}{2}

You might be interested in
What are the solutions of x^2+5x=2? Check all that apply
astraxan [27]
X^2+5x=2
you then solve by completing the square using the formula (b/2)^2 in order to create the new term. Solve for x by using this term to complete the square. 
Your answer is then
x=-5/2+-√33/2
3 0
3 years ago
Read 2 more answers
(13) The temperature on a cold winter day is 2 degrees below zero. In the night, the temperature drops an additional 14 degrees.
EastWind [94]
Well, in the first one, 2 degrees below zero is -2 degrees, and then it says that it dropped 14 degrees, which means it dropped -14 degrees, so to know the total amount it dropped you would just have to add -2 plus -14 which is -16 degrees, so your answer for the first question would be the last answer, -16 degrees.

For the second question, just know that whenever a negative number is BY ITSELF in parentheses, that means it is used like a positive number in the equation. So (-12) automatically becomes 12. Now, since the problem is asking for a SUM, (the answer to an ADDITION problem; when you add instead of subtract), you would turn that minus symbol to a plus symbol, and add normally to get your final answer; 30 + 12 = 42. To check if this is correct, just type in <span>30 – (–12) to a calculator and you'll get the same answer! :D
Hope this helps! :3</span>
5 0
3 years ago
Which of the following describes the graph of 2x + 4y &lt; 16?
SSSSS [86.1K]

Answer:

dashes line shaded below

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
You need to buy 5 notebooks for your classes at school. Each notebook costs $2.79. What is the total costs of 5 notebooks Before
aev [14]

multiply 2.79 x 5

2.79*5 = 13.95 before tax

3 0
3 years ago
Simplify, then determine which is greater
Natasha_Volkova [10]

Answer:

1) answer is 2x^2 - x + 6

2) answer is 2x^2 + 2x + 2

Step-by-step explanation:

i dont know if this is what you wanted, but i tried to follow the directions as best i could

8 0
2 years ago
Read 2 more answers
Other questions:
  • More on the Leaning Tower of Pisa. Refer to the previous exercise. (a) In 1918 the lean was 2.9071 meters. (The coded value is 7
    13·1 answer
  • A store allows customers to fill their own bags of candy. Terri decides she only wants jelly beans and chocolate drops. Jelly be
    6·1 answer
  • Question state in photo
    6·2 answers
  • Which set of numbers is correctly ordered from least to greatest?
    15·2 answers
  • A patio is in the shape of a trapezoid. The length of the longer base is 17 feet. The length of the shorter base is two feet les
    7·1 answer
  • HELP PLEASE !!!!
    14·2 answers
  • mrs thomson Is buying two types of gift cards to give as prizes to employees at a company meeting. Do you buy restaurant gift ca
    7·1 answer
  • PLS HELP!! THIS IS A VERY HARD QUESTION!! I NEED IT TO BE DONE!!!! ILL GIVE BRAINLIEST!!!! PLEASE!!!!
    13·2 answers
  • Well what's the value of 2+3?​
    14·2 answers
  • 7f=49 i need help fasttttttttt
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!