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
Ronch [10]
3 years ago
15

Rationalise the denominator.

Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Let's see what to do buddy...

_________________________________

To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

(5 -\sqrt{2})

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Reminder :

(a + b)(a - b) =  {a}^{2} -  {b}^{2}  \\

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

\frac{1}{ 5-\sqrt{2} } \times  \frac{ 5+\sqrt{2}  }{ 5 +\sqrt{2}  } =  \frac{1 \times ( 5 +\sqrt{2}) }{(5- \sqrt{2} )( 5 +\sqrt{2})  } =  \\

The other is in the photo.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

You might be interested in
What is f(x) times g(x)
erastovalidia [21]

Answer:

fg {x}^{2}

Step-by-step explanation:

f(x) × g(x)

fg {x}^{2}

it is not easy to explain but i hope u like it ‍❤️‍‍❤️‍‍❤️‍

For any question comment me

6 0
3 years ago
To compute a student's Grade Point Average (GPA) for a term, the student's grades for each course are weighted by the number of
postnew [5]

Answer:

The student's GPA for that term is 3.07

Step-by-step explanation:

So this is a problem where we need to compute a weighted arithmetic mean.

To compute the weighted arithmetic mean of a set, we need to multiply each value of the set by their respective weight, add them, and then divide by the sum of the weights.

I will write the set in a {V,W} way, where V is the value(the grade) and W is the weight of V.

So your set G will be

G = {{3.8, 5}, {1.8,3}, {3.1,5}, {3.1,5}}.

Multiplying each value by it's respective weigth and then adding, we have:

3.8*5 + 1.8*3 + 3.1*5 + 3.1*5 = 19 + 5.4 + 15.5 + 15.5 = 55.4

The sum of the weigths is 5 + 3 + 5 + 5 = 18

So the student's GPA for that term, rounded to two decimal places, is: 55.4/18 = 3.07

4 0
2 years ago
5 is 5% of what number?​
iragen [17]

Answer:

100

Step-by-step explanation:

8 0
3 years ago
Which number line best shows how to solve −8 − (−2)?
Flauer [41]

Answer:

It would be the third one

Step-by-step explanation:

The one with the shortest top arrow because if you have -8 and you minus that by -2 that cancels out and instead the minus turns into a plus and the 2 becomes positive therefore it becomes -6

7 0
2 years ago
four sisters bought a present for their mother. They received a 10% discount on the original price of the gift. after the discou
artcher [175]
So first you will need to multiply 9 by 4. You get 36. Now you need to add the 10 percent and you get 39.6! That's the answer!
7 0
3 years ago
Read 2 more answers
Other questions:
  • A landscaper makes a $2,000 profit in a week when he services 25 lawns. He makes a $600 profit in a week when he services 11 law
    6·1 answer
  • Its only 13 14 15 and 16 thanks
    5·1 answer
  • PLEASE HALP!!!!
    15·2 answers
  • Compare the central angles of the two regular figures. which statement is true? A. m angle APB < m angle MQN B. m angle MQN &
    12·1 answer
  • 85 out of 350 books in the library are about Mysteries.
    14·1 answer
  • 18. Describe the shape of the data distribution.
    9·1 answer
  • What is the quotient between 215÷9
    13·1 answer
  • Solve this for me please
    6·2 answers
  • Find all possible values of b such that 4x² + bx + 3 can be factored. Check all that apply.
    15·1 answer
  • draw the image of figure after each translation number 9. four units left and 4 unit down number 10 five units right in three un
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!