Math Tutoring on Multiplying Radicals
To multiply two radical expressions with the same index multiply the coefficients together and multiply the radicands together then simplify. For example, p√u •q√v = pq√uv.
When multiplying binomials of radicals, we follow the same rules for other products involving binomial expressions,
1. a ( b + c ) = ab + ac
2. ( a + b ) ( c + d ) = ac + ad + bc + bd
Let’s talk about conjugates now. The expression (a + √ b) and ( a - √b ) are called conjugates of each other. Another example of conjugates are ( √a + √b ) and ( √a - √b ). Notice that they differ only in the sign between the terms, one is an addition and one is subtraction. The product of two conjugates is the difference of two squares and this result is very helpful when simplifying radical expressions that contain a sum or difference in the denominator.
Learn ‘Multiplying Radicals’ with AffordEdu.
Interested in free assessment? Build your personalized study plan with AffordEdu through knowledge map and go for free assessment and free tuition session with math expert. *
1. How do you multiply two square roots?
2. What is a conjugate in math?
Learn ‘Multiplying Radicals’ with AffordEdu Online One on One Math Tutoring.
Struggling with Multiplying Radicals? Need math help for homework? You are not the only one. Fortunately, our experts in math tutoring are online now and are ready to help.