1. Solutions to Problems on Rationalizing the Denominator

2. Question 1 Rationalize
To rationalize a denominator with a single radical, multiply it by itself.
If you multiply the bottom by a number, you have to multiply the top by the same number.

3. Question 2 Rationalize
To rationalize a denominator with a single radical, multiply it by itself.
If you multiply the bottom by a number, you have to multiply the top by the same number.

4. Question 3 Rationalize
To rationalize a denominator with a single radical, multiply it by itself.
If you multiply the bottom by a number, you have to multiply the top by the same number.

5. Question 4 Rationalize
To rationalize a denominator with a single radical, multiply it by itself.
If you multiply the bottom by a number, you have to multiply the top by the same number.

6. Question 5 Rationalize
To rationalize a denominator with a single radical, multiply it by itself.
If you multiply the bottom by a number, you have to multiply the top by the same number.

7. Question 6
If you have a fraction under a radical sign, give each part its own radical.
To rationalize a denominator with a single radical, multiply it by itself.
If you multiply the bottom by a number, you have to multiply the top by the same number.

8. Question 7 Rationalize
To break out of cube root, you need a triplet of identical numbers or letters. We need 2 extra y’s to get out.

9. Question 8 Rationalize
We already have two 3’s under a cube root sign since we have the 9 – therefore we only need to multiply by the cube root of one 3.

10. Question 9 Rationalize
To rationalize a denominator with two terms, we need to multiply by the conjugate.

11. Question 10 Rationalize
To rationalize a denominator with two terms, we need to multiply by the conjugate.