Divide Binomials by Monomials (Values Only) (Level 1)

This math topic focuses on practicing the skills related to dividing radical expressions, specifically dividing binomials containing radicals by monomials. It includes simplifying the resulting expressions after division. The topic is part of an introductory module on radical division, where students encounter various problems requiring them to reducing, simplify, and restructure radical terms and expressions across different difficulty levels and configurations. Each problem presents a division of radicals problem, coupled with multiple choice answers that feature different levels of simplification and manipulation of radical expressions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Radicals - Divide Binomials by Monomials (Values Only) Worksheet

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Math worksheet on 'Radicals - Divide Binomials by Monomials (Values Only) (Level 1)'. Part of a broader unit on 'Radicals - Division Intro' Learn online: app.mobius.academy/math/units/radicals_division_intro/
1
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{5 + square root of 7}{square root of 7}
a A LaTex expression showing 5square root of 7 + 1
b A LaTex expression showing \frac{5square root of 7 + 7}{7}
c A LaTex expression showing \frac{2square root of 7 - 7}{5}
d A LaTex expression showing \frac{square root of 7 - 7}{7}
e A LaTex expression showing 5square root of 7 - 2
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{2 + square root of 3}{square root of 3}
a A LaTex expression showing \frac{2square root of 3 + 3}{3}
b A LaTex expression showing 5
c A LaTex expression showing \frac{2square root of 3 + 1}{3}
d A LaTex expression showing \frac{2square root of 3 + 3}{4}
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 11 - 5}{square root of 13}
a A LaTex expression showing \frac{1 - 5square root of 13}{26}
b A LaTex expression showing \frac{square root of 143 + 5square root of 13}{13}
c A LaTex expression showing \frac{square root of 143 - square root of 13}{4}
d A LaTex expression showing square root of 143 + 5square root of 13
e A LaTex expression showing \frac{square root of 143 - 5square root of 13}{13}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{4 - square root of 3}{square root of 3}
a A LaTex expression showing \frac{4square root of 3 - 1}{5}
b A LaTex expression showing 1
c A LaTex expression showing 2square root of 3 - 3
d A LaTex expression showing \frac{4square root of 3 - 3}{3}
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 5 - 2}{square root of 5}
a A LaTex expression showing \frac{5 + 2square root of 5}{5}
b A LaTex expression showing 1
c A LaTex expression showing \frac{5 + square root of 5}{5}
d A LaTex expression showing 5 - 2square root of 5
e A LaTex expression showing \frac{5 - 2square root of 5}{5}
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{2 + square root of 3}{square root of 13}
a A LaTex expression showing \frac{square root of 26 - square root of 78}{26}
b A LaTex expression showing \frac{2square root of 13 + square root of 39}{13}
c A LaTex expression showing 2square root of 13 + 1
d A LaTex expression showing \frac{2 + square root of 39}{13}
e A LaTex expression showing \frac{2square root of 13 - 1}{2}
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 11 + 4}{square root of 2}
a A LaTex expression showing \frac{square root of 22 + 4square root of 2}{2}
b A LaTex expression showing \frac{5square root of 11 + 4}{2}
c A LaTex expression showing square root of 22 + 3square root of 2
d A LaTex expression showing \frac{square root of 22 + 4square root of 2}{4}
e A LaTex expression showing square root of 22 + 4square root of 2