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)

Problem on Distribution in Algebra

Topic :- Distribution property


distributivity is a property of binary operations that generalises the distributive law from elementary algebra. For example:


Question:- How to Solve 2(3x+5)=5x-11


Ans:-


Step 1:- Use the distribution rule to solve 2(3x+5)

2*3x + 2*5

=6x+10

So,6x+10=5x-11


Step 2:- Subtract 5x from both sides


6x+10=5x-11
-5x -5x
----------------------------
x+10= -11

Step 3:- Subtract 10 from both sides


x+10= -11
-10 -10
----------------------
x = -1

So x= -1 is the Answer.


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