Question

Rationalize the denominator ( consider 15 different examples )​

Answer 1

Step-by-step explanation:

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 .

Answer 2

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.