Answer:
Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
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<em>Expanding (1-√3)(⅓+√3)</em>
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 + 
=
Not only in mathematics, scientific proof also are required in the other field of science. Also maths proofs are of particular structure, containing steps and logics. So proving is like doing science, it is science. That's why it is important to prove.
An inaccurate proof leads to errors, or stating results that are not accurate.
Example 1:
If the derivative of a function is negative, then the function is decreasing.
Example 2:
The sum of the measures of the angles of any triangle is 180°.
Example 2:
Given a triangle whose vertices are on a circle and one side is the
diameter of the triangle, then the triangle is right angled.
