Question

How to Rationalize Irrational Numbers?

For an irrational number of the for

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Answer 1

Answer:

Step-by-step explanation:

Here is your answer mate!

If your question of rationalizing is:

x/root 3          where x is any number and root 3 is any irrational number, then                    

                      you can do the following steps:

• Multiply in the numerator and denominator with that irrational number
• eg: in this case x/root 3= x*root 3/root 3*root 3
• that will give you, xroot3/3. Hence rationalized

But if your question of rationalizing is:

x/root3-1          where x is any number and root 3-1 may be any binomial, then

                        you can do the following steps:

• Multiply in the numerator and denominator with the conjugate
• eg: in this case x/root 3-1 = x*root 3+1/(root 3 -1)(root 3+1)
• that will give you (root 3+1)x/root 3^2-1^2
• use the identity (a+b)(a-b)=a^2-b^2 in the denominator. Voila! Hence rationalized