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
anzhelika [568]
1 year ago
8

(m+n√2) (1 + √2)² = 2+2√2 Solve For M and n

Mathematics
1 answer:
Sergeu [11.5K]1 year ago
6 0

Answer:

m = n = 2

Step-by-step explanation:

(m + n√2)(1 - √2)² = -2 + 2√2

(m + n√2)(1 - 2√2 + 2) = -2 + 2√2

(m + n√2)(3 - 2√2) = -2 + 2√2

3m - 2m√2 + 3n√2 - 4n = - 2 + 2√2

(3n - 2m)√2 + 3m - 4n = 2√2 - 2

3n - 2m = 2

4n - 3m = 2

3n - 2m = 4n - 3m

n = m

4n - 3n = 2

n = 2

m = 2

Hope this helps.

You might be interested in
Find the ratio a:b-<br><br> 1) 2a=9b<br> 2) a+b=3b<br><br> please explain your work
Alex777 [14]

1) 2a = 9b    ⇒ 2:9

2) a + b = 3b   ⇒   a = 2b   ⇒   1:2

Answers: 2:9  and  1:2

6 0
3 years ago
Which expressions are equilvalent to 3^x
SVETLANKA909090 [29]
Where’s the question?
8 0
3 years ago
Isabelle has $84.00 in her account
aliya0001 [1]
Isabelle is poor, sorry.
6 0
4 years ago
84,75,90,87,99,91,85,88,76,92,94
Maslowich

Thank you for the free points

3 0
3 years ago
What is the mean of the data?<br><br> 11<br> 5<br> 3<br> 8
Dvinal [7]
The answer to this question is 6.75
3 0
3 years ago
Read 2 more answers
Other questions:
  • This circle centered at the origin and the Length of its radius is 8. What is the equation of the circle?
    10·2 answers
  • Express 4,400 in scientific notation
    12·2 answers
  • The exponent on variable z is _____
    12·1 answer
  • When your multiple regression function includes a single omitted variable​ regressor, then:
    7·1 answer
  • Question 2: The Northside Knights were competing in a soccer game against the Goshen Gladiators. The Knights, k, scored 3 more g
    14·1 answer
  • What is the value of x in the equation x + 10 = 13?<br> O-3<br> 03<br> 0 13<br> O 23
    9·2 answers
  • Factor.<br> 7f ^3–14f^2–8f+16
    8·1 answer
  • Find the mean of the weights.<br> 0.8158 0.8194 0.8164 0.8175 0.7911 0.8144 0.8123
    7·1 answer
  • What is the answer of 2.87 divided by 0.1
    8·1 answer
  • Over the last three evenings, Diane received a total of 105 phone calls at the call center. The third evening, she received 4 ti
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!