Home
Grade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8Grade 9Grade 10Grade 11Grade 12Math Themes
Explorers (Grades 1-3)Explorers Elite (1-3)Navigators (Grades 4-6)Navigators Elite (4-6)Challengers (Grades 7-9)Challengers Elite (7-9)Schedule an Evaluation
Mobius MethodFlexible ClassesCompanySupport
Pricing
Ctrl+k
Sign InJoin
Radicals

Divide Binomials by Monomials (Values and Variables) (Level 1)

This math topic focuses on dividing radical expressions where binomials are divided by monomials, involving both numerical and algebraic expressions. The problems require simplification of the resulting expressions following the division. Each question presents a radical binomial expression in the numerator and a monomial in the denominator. Multiple-choice answers suggest the students need to select the correct simplified form, highlighting skills in manipulating square roots, variables, and rationalizing the denominator where applicable.

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

more
View

Radicals - Divide Binomials by Monomials (Values and Variables) Worksheet

Mobius Math Academy logo
Radicals - Divide Binomials by Monomials (Values and Variables)
1
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 2 - 5xsquare root of x}{{x} to the power of 2 square root of 11}
a A LaTex expression showing \frac{square root of 22 - xsquare root of 11x}{11{x} to the power of 3 }
b A LaTex expression showing \frac{square root of 22 - 5xsquare root of 11x}{11{x} to the power of 2 }
c A LaTex expression showing \frac{square root of 22 + 2xsquare root of 11x}{11x}
d A LaTex expression showing \frac{square root of 22 + 5xsquare root of x}{{x} to the power of 2 }
e A LaTex expression showing \frac{square root of 22 - 5xsquare root of 2x}{11{x} to the power of 4 }
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{3csquare root of c - square root of 13}{csquare root of 13c}
a A LaTex expression showing \frac{3{c} to the power of 3 square root of 13 - 13square root of c}{3{c} to the power of 2 }
b A LaTex expression showing \frac{3{c} to the power of 2 square root of 13 - 13square root of c}{13{c} to the power of 2 }
c A LaTex expression showing \frac{3csquare root of 13 - 13}{13}
d A LaTex expression showing \frac{3{c} to the power of 2 square root of 13 + 13c}{13}
e A LaTex expression showing \frac{3{c} to the power of 2 square root of 13 + square root of c}{{c} to the power of 2 }
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{3{n} to the power of 2 + {n} to the power of 2 square root of 5}{square root of 11}
a A LaTex expression showing 4{n} to the power of 2 square root of 11 + {n} to the power of 2 square root of 55
b A LaTex expression showing \frac{3square root of 11 + {n} to the power of 2 square root of 55}{11}
c A LaTex expression showing \frac{3nsquare root of 11 + {n} to the power of 2 square root of 55}{2}
d A LaTex expression showing \frac{3{n} to the power of 2 square root of 11 - {n} to the power of 2 square root of 55}{11}
e A LaTex expression showing \frac{3{n} to the power of 2 square root of 11 + {n} to the power of 2 square root of 55}{11}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 7 - 5r}{rsquare root of 3}
a A LaTex expression showing \frac{square root of 21 - 5rsquare root of 3}{r}
b A LaTex expression showing \frac{square root of 21 - 5r}{3{r} to the power of 2 }
c A LaTex expression showing \frac{square root of 21 - 5rsquare root of 3}{3r}
d A LaTex expression showing \frac{square root of 21 - 5square root of 3}{r}
e A LaTex expression showing \frac{square root of 21 - 5{r} to the power of -1 square root of 3}{r}
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{bsquare root of 7 + 4{b} to the power of 2 }{bsquare root of 7}
a A LaTex expression showing 14 + 4bsquare root of 7
b A LaTex expression showing \frac{7 + 4bsquare root of 7}{7}
c A LaTex expression showing 2 + 4bsquare root of 7
d A LaTex expression showing 5 + 4bsquare root of 7
e A LaTex expression showing \frac{1 + 4bsquare root of 7}{14}
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{5m + square root of 11}{msquare root of 5m}
a A LaTex expression showing \frac{5msquare root of 15{m to the power of -1 } - square root of 165m}{15{m} to the power of 2 }
b A LaTex expression showing \frac{5msquare root of 5m + square root of 55m}{5{m} to the power of 2 }
c A LaTex expression showing \frac{5msquare root of 5 + square root of 55m}{5}
d A LaTex expression showing \frac{5msquare root of 5m + square root of 55{m to the power of -1 }}{5{m} to the power of 4 }
e A LaTex expression showing \frac{5square root of 5m + square root of 55}{5}
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 13r - 5r}{rsquare root of 13r}
a A LaTex expression showing \frac{1 + 5square root of 13r}{13}
b A LaTex expression showing \frac{13 - 5square root of 13r}{13r}
c A LaTex expression showing \frac{2 + 5square root of 13r}{13r}
d A LaTex expression showing \frac{1 - 5square root of 13r}{r}
e A LaTex expression showing \frac{13 + square root of 13r}{4r}
8
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{bsquare root of 3b - 5}{{b} to the power of 2 square root of 3}
a A LaTex expression showing \frac{3bsquare root of b - square root of 3}{3}
b A LaTex expression showing \frac{2bsquare root of 3b - 15}{9{b} to the power of 2 }
c A LaTex expression showing \frac{3bsquare root of b - square root of 3}{2{b} to the power of 2 }
d A LaTex expression showing \frac{3bsquare root of b - 5square root of 3}{3{b} to the power of 2 }
e A LaTex expression showing \frac{3bsquare root of b + square root of 3}{3b}