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
Gwar [14]
2 years ago
7

If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​

Mathematics
1 answer:
seraphim [82]2 years ago
4 0

Answer:

  • a = 4/3 and b = 0

============================

<h2>Given expression:</h2>

\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}

<h2>Simplify it in steps:</h2>

<h3>Step 1</h3>

Bring both fractions into common denominator:

\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}

<h3>Step 2</h3>

Simplify:

\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =

\dfrac{4\sqrt{14} }{7-4} =

\dfrac{4}{3}  \sqrt{14} }

<h3>Step 3</h3>

Compare the result with given expression to get:

  • a = 4/3 and b = 0

You might be interested in
Lmno is a kite find the length of ln
Llana [10]
Where are the numbers so that people can help you
4 0
2 years ago
Factorise fully<br> -X – 10<br><br> Pls help
Nataly_w [17]

Answer:

-X – 10=-1(x+10) is your answer

3 0
2 years ago
I struggle pls help me ;-;
Paladinen [302]

Answer:

8

Step-by-step explanation:

you have to work out 8 times 10 witch is 80  and then you do 54 take waya 80 divided by 2

4 0
2 years ago
I need to find angle BAC
igomit [66]

Answer:

m<BAC = 60°

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.

m<ACD = m<A + m<B

130° = m<A + 70°

m<A = 60°

m<BAC = 60°

8 0
3 years ago
PLEASE HURRY<br> what is the value of (-x)-y if x= (-1/5) and y=(-7/15)
tatuchka [14]

Answer:

-10/15

Step-by-step explanation:

-1/5-7/15

-3/15-7/15

-10/15

Please give me brainliest!

7 0
3 years ago
Read 2 more answers
Other questions:
  • In a triangle there is three angles..one is 32° other is 116° what is the third one?
    5·2 answers
  • What equation has a slope of 2 and contains (1,4)
    11·2 answers
  • A area of a triangle with 6m and 8m​
    11·1 answer
  • How do you solve (2x-7)(5x+3)=0
    8·1 answer
  • 64.3 - 3x 2 3 exponents divided 2
    8·1 answer
  • PLEASE HELP ILL GIVE BRAINLEST
    7·1 answer
  • Subtract -2/15 from -3/5 and add the result to 5/6​
    7·2 answers
  • What is the slope of the line shown above?
    14·2 answers
  • Pls help plsssss I really need help
    6·2 answers
  • Micheal models an experiment. He places a model car on a tramp that can be adjusted to different heights. Each time the model ca
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!