How to solve Irrational numbers with out a calculator

In number theory tutorial, an irrational number is any real number that is not a rational number—that is, it is a number which cannot be expressed as a fraction m/n, where m and n are integers, with n non-zero,we have fractions calculator to find fractions if any. Informally, this means numbers that cannot be represented as simple fractions. Equivalently, irrational numbers are real numbers that cannot be represented as terminating or repeating decimals, and this presentation is often used in textbooks in elementary mathematics. As a consequence of Cantor's proof that the real numbers are uncountable (and the rationals countable) it follows that almost all real numbers are irrational. Perhaps the best-known irrational numbers are π, e and √2.we will also get rational expression calculator

Question:-

Simplify

 3√24 - 2√18
-------------
    -√2

Answer:-

 3√24 - 2√18
-------------
    -√2

3√12x2 - 2√9x2
--------------
    -√2

3√2 x √12 - 2 x 3√2
-------------------
     -√2

3√12 - 6
---------
   -1

= 6 - 3√12

= 6 - 3√4x3

= 6 - 3 x 2√3

= 6 - 6√3

= 6(1-√3)

How to find the raius of a circle

a radius of a circle or sphere is any line segment from its center to its perimeter. By extension, the radius of a circle or sphere is the length of any such segment, which is half the diameter.

Question:-

A sector of a circle has an area of 90 cm²and a central angle of 0.2radians .Find it's radius.


Answer:-

Area of sector = 90 cm²

Central angle = 0.2 radians

We need to convert this central angle to degrees

degrees=radians x 180/π

degrees=0.2 x 180/3.142

=11.5 degrees

                 11.5
Area of sector= -------- x area of the circle
                 360

    
             11.5
        90= ------ x πr2 
              360
The above step is having area of a circle formula
Let's find the radius (r) from the above equation

             90 x 360
            ---------- = r2
              11.5 π

          
             90 x 360
            ---------- = r2
             11.5x3.142


              896.8= r2


               r = √896.8 = 29.9

      So radius is approximately equal to 30 is the answer
We can use this in circumference of a circle formula to get the
circumference of the circle,similar ,if know the area of sector
for earth we can even find the radius of earth


                        

How to solve a linear equation

Topic : linear equation

When you enter an problem or equation into the calculator, the calculator will get the answer by simplifying the problem whether it is numerical or algebraic expression. Then it will attempt to solve the equation by using one or more of the the following : addition, subtraction, division, or by taking the square root of each side,factoring , and completing the square
This can be done with help of algebra calculator online two variables

Here are some example:

Question: Find X for the following 1.)-4 = 5 - 3x
Answer:

- 4 = 5 - 3x
5 - 3x = - 4
  - 3x = - 4 -5
  - 3x = - 9
     x = 3

2.) -2x -3 = 7

Answer:

- 2x - 3 = 7
- 2x = 7 + 3
- 2x = 10
   x = - 5