Solutions to Problems on Rationalizing the Denominator

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.

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.

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.

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.

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.

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.

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.

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.

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

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