Multiplying and Dividing Radical Expressions help?

1. Multiply and simplify if possible.

Answer 1

Hi,

1. Multiply and simplify if possible.
⁴√11.⁴√10

11 ^4√10
11
10
⁴√110 <==ANSWER 2. What is the simplest form of the expression? ³√24a¹⁰b⁶ 3a^3b^2^3√2a 2a^3b^3√2a 2a³b² ³√3a <==ANSWER none of these 3. What is the simplest form of the product? ³√4x² .³√8x⁷ 2x³. ³√4 <==ANSWER ^3√32x^9 2x^3.^3√4x^9 none of these I hope that helps!!

Answer 2

1. Multiply and simplify if possible.
^4√11.^4√10
^4√110

2. What is the simplest form of the expression?
^3√24a^10b^6

2a^3b^3√2a

3. What is the simplest form of the product?
^3√4x^2.3^√8x^7

2x^3.^3√4

Answer 3

multiplying radicals: sqrt(4) * sqrt(3) = sqrt(12) you could constantly multiply what’s interior the radicals mutually whilst multiplying radicals. whilst multiplying radicals of the type: (a million + sqrt(2))(2 + sqrt(2)) in simple terms use foil. 2 + sqrt(2) + 2sqrt(2) + 2 = 4 + 3sqrt(2) dividing radicals: back, in simple terms remember you could divide what’s interior the novel so sqrt(12) / sqrt(4) = sqrt(3) whilst dividing radicals of the type: (a million + sqrt(2)) —————- (a million + sqrt(3)) this is oftentimes suited to get rid of the novel from the denominator. with a view to do this, we multiply by utilising the conjugate: (a million + sqrt(2)) * (a million – sqrt(3)) ———————————— (a million + sqrt(3)) * (a million – sqrt(3)) it rather is solved (good and backside) utilising the Foil approach, leaving us with a million – sqrt(3) + sqrt(2) – sqrt(6) ————————————–… a million – 3 which equals a million – sqrt(3) + sqrt(2) – sqrt(6) ————————————–… -2 this would’t be greater simplified; sqrt(3), sqrt(2), and sqrt(6) would desire to proceed to be separate words. desire this helps.

Leave a Comment