RATIONALIZING THE DENOMINATOR WITH VARIABLES USING CONJUGATES

Let (√p + √q) be the denominator of a fraction.

To rationalize the denominator (√p + √q), we have to multiply the numerator and denominator of the fraction by the conjugate (√p - √q) and simplify.

(√p + √q) and (√p - √q) are conjugate to each other.

To multiply (√p + √q) and (√p - √q), the following algebraic identity can be used.

(a + b)(a - b) = a² - b²

Product of (√p + √q) and (√p - √q) :

(√p + √q)(√p - √q) = (√p)² - (√q)²

(√p + √q)(√p - √q) = p - q

Rationalize the denominator in each of the following.

Example 1 :

Solution :

Example 2 :

Solution :

Example 3 :

Solution :

Example 4 :

Solution :

Example 5 :

Solution :

Example 6 :

Solution :

Example 7 :

Solution :

Example 8 :

Solution :

Example 9 :

Solution :

Example 10 :

Solution :

Example 11 :

Solution :

Example 12 :

Solution :

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

Recent Articles