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gulaghasi [49]
3 years ago
13

How do I solve this problem

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

You have to multiply all the sides

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Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b​
Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : \dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b

To find, The value of a and b

Solution,

Solving LHS of the given equation,

\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b

Since,

(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2

So,

\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b

or

4+0=a+\sqrt 3 b

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4 0
3 years ago
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Step-by-step explanation:

4 0
2 years ago
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Use a protractor to measure the angle formed by each pair of lines
Dominik [7]
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3 years ago
The measure of an angle is 78°. What is the measure of a complementary angle?
ki77a [65]
First you need to know the definition of a complementary angle. That means that two angles add up to 90 degrees, or a right angle.

To find an angle complementary to a 78 degree angle, you need to subtract 78 from 90. 

90 - 78 = 12
6 0
3 years ago
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VikaD [51]

Answer:

C. Cos(28) = \frac{15}{17}

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

Cos(\theta) = \frac{Adjacent}{Hypotenuse}

Reference angle = 28°

Adjacent = 15

Hypotenuse = 17

Plug in the values

Cos(28) = \frac{15}{17}

4 0
3 years ago
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