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Rational or Irrational Calculator
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 Rational or Irrational Calculator (or Rational Numbers Calculator or Irrational Number Calculator or Surd Calculator) is an online tool to calculate whether root (nth root) of a number is rational or irrational (surd). If any number is given then it can easily calculate whether given number is rational or irrational. For any number of the form a1/x (= $\sqrt[x]{a}$), the value of a and x have to be entered in the calculator, and on clicking solve, it will tell whether the expression a1/x is rational or irrational. 'Surd' and 'Irrational' means the same.

Step by Step Calculation

Step 1 :

Take down the expression and check whether the expression is of the form a1/x.

Step 2 :

Check whether its a rational or irrational number

• If the given root is expressed as fraction it is a rational number

• If the given root cannot be simplified further it is a irrational number.

Example Problems

1. Check whether $\sqrt{3}$ is rational or irrational?

Step 1 :

Given number is $\sqrt{3}$

Step 2 :

$\sqrt{3}$ cannot be simplified further or expressed as fraction. Hence it is a irrational number (surd).

$\sqrt{3}$ is irrational.

2. Check whether 6251/4 is rational or irrational?

Step 1 :

Given number is 6251/4

Step 2 :

6251/4 = (6251/2)1/2

= ($\sqrt{625}$)1/2

= (25)1/2

= $\sqrt{25}$

= 5