How to rationalize this question?
(√3 - √2)/(√3+√2)
Do I multiply those two by(√3 - √2) or (√3 + √2)
rationalize. multiply the numerator and the denominator by the conjugate of the denominator (sqrt3-sqrt2).The "radtionalize" means get rid of the radicals in the denominator.
To rationalize the given question, you need to multiply both the numerator and the denominator by the conjugate of the denominator. In this case, the conjugate of (√3 + √2) is (√3 - √2).
Here are the steps to rationalize the question:
1. Multiply the numerator and denominator by the conjugate of the denominator (√3 - √2):
((√3 - √2)/(√3 + √2)) * ((√3 - √2)/(√3 - √2))
2. Apply the distributive property and multiply each term:
(√3 * √3) - (√3 * √2) - (√2 * √3) + (√2 * √2) / ((√3 * √3) - (√3 * √2) + (√2 * √3) - (√2 * √2))
Simplifying, this becomes:
3 - √6 - √6 + 2 / (3 - 2)
3. Combine like terms:
5 - 2√6 / 1
The rationalized form of the question is 5 - 2√6.