PROBLEMS ON RATIONALIZING THE DENOMINATOR

Expressing the given fraction with out having radical terms which is at the denominator is called rationalizing denominator.

Step 1 :

Check the denominator, if consist of one term or two terms

If denominator consists of only one term :

If denominator consists of two terms :

Express with integer denominator :

Problem 1 :

Solution :

Let us multiply the numerator and denominator by 3 + √5.

Problem 2 :

Solution :

Let us multiply the numerator and denominator by 2 - √3.

Problem 3 :

Solution :

Let us multiply the numerator and denominator by 4 + √11.

Problem 4 :

Solution :

Let us multiply the numerator and denominator by 5 - √2.

Problem 5 :

Solution :

Let us multiply the numerator and denominator by 3 - √3.

Problem 6 :

Solution :

Let us multiply the numerator and denominator by 2 + 3√2.

Problem 7 :

Solution :

Let us multiply the numerator and denominator by 3 - 2√5.

Problem 8 :

Solution :

Let us multiply the numerator and denominator by 2 - √7.

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