Question

Rationalize the denominator ( consider 15 different examples )​

Answer 1

To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots. The key idea is to multiply the original fraction by an appropriate value, such that after simplification, the denominator no longer contains radicals.

Answer 2

$\huge\underbrace\mathcal\pink{Answer:}$

To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots. The key idea is to multiply the original fraction by an appropriate value, such that after simplification, the denominator no longer contains radicals.

Problems on Rationalizing the Denominator

• Rationalize 1√11. Solution: Since the given fraction has an irrational denominator, so we need to rationalize this and make it more simple. ...
• Rationalize 1√21. Solution: ...
• Rationalize 1√39. Solution: ...
• Rationalize 14+√10. Solution: ...
• Rationalize 1√6−√5. Solution: ...
• Rationalize 2√11−√6.

Examples :–

Example 1: Rationalize the denominator 5 2 {5 \over {\sqrt 2 }} 2 5. Simplify further, if needed. The denominator contains a radical expression, the square root of 2. Eliminate the radical at the bottom by multiplying by itself which is 2 since 2 ⋅ 2 = 4 = 2 \sqrt 2 \cdot \sqrt 2 = \sqrt 4 = 2 2 ⋅2 =4 =2 .

Example 2: Rationalize the denominator {6 \over {\sqrt 3 }} Then simplify if necessary.

Observe that the denominator has a square root of 33. We have the need to rationalize it by getting rid of the radical symbol.