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 3)

This math topic focuses on dividing binomials by monomials involving both numerical values and variables under radical expressions at Level 3 complexity. It is part of an introductory series on radical divisions. The problems require simplifying complex radical expressions formed through division to get to the simplest form. Each question presents a radical expression where students need to perform division and then simplify, offering multiple choice answers for selection. This practice helps enhance skills in manipulating radicals and understanding algebraic operations involving square roots and powers with variables.

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{mcsquare root of 5mc - 3csquare root of 5mc}{mcsquare root of 11mc}
a A LaTex expression showing \frac{msquare root of 55 - square root of 55}{11m}
b A LaTex expression showing \frac{msquare root of 55 - 3square root of 55}{m}
c A LaTex expression showing \frac{msquare root of 55 - 2square root of 55}{5m}
d A LaTex expression showing \frac{msquare root of 55 - 3square root of 55}{11m}
e A LaTex expression showing \frac{msquare root of 55 - 3}{m}
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{dsquare root of 7 - 2msquare root of 11}{d{m} to the power of 2 square root of 5}
a A LaTex expression showing \frac{dsquare root of 35 + msquare root of 55}{5d{m} to the power of 3 }
b A LaTex expression showing \frac{d + 2msquare root of 55}{2d{m} to the power of 2 }
c A LaTex expression showing \frac{dsquare root of 35 - 2msquare root of 55}{5d{m} to the power of 2 }
d A LaTex expression showing \frac{4dsquare root of 35 + 2msquare root of 55}{5d}
e A LaTex expression showing \frac{square root of 35 - 2msquare root of 55}{{m} to the power of 2 }
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{msquare root of 7pm + 3{p} to the power of 2 square root of 5}{psquare root of 5pm}
a A LaTex expression showing \frac{{m} to the power of 2 square root of 35 - 15psquare root of p{m to the power of -1 }}{5p{m} to the power of 2 }
b A LaTex expression showing \frac{{m} to the power of 2 square root of 35 + 15psquare root of pm}{5pm}
c A LaTex expression showing \frac{{m} to the power of 2 square root of 35 - 15{p} to the power of 2 square root of m}{5{p} to the power of 3 m}
d A LaTex expression showing \frac{{m} to the power of 2 + 15psquare root of pm}{5{p} to the power of -1 m}
e A LaTex expression showing \frac{{m} to the power of 2 square root of 35 + 15{p} to the power of -1 square root of pm}{5{p} to the power of 2 m}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{bzsquare root of 5bz + 5zsquare root of 3z}{zsquare root of 11bz}
a A LaTex expression showing \frac{bsquare root of 55 + 5square root of 33}{5}
b A LaTex expression showing \frac{{b} to the power of 2 - 5square root of 33b}{11b}
c A LaTex expression showing \frac{z{b} to the power of 2 square root of 55 + 5square root of 33b}{3b}
d A LaTex expression showing \frac{bsquare root of 55 + 5square root of 33b}{2}
e A LaTex expression showing \frac{{b} to the power of 2 square root of 55 + 5square root of 33b}{11b}
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{ndsquare root of 7n - 4{d} to the power of 2 square root of 13}{{d} to the power of 2 square root of 3n}
a A LaTex expression showing \frac{{n} to the power of 2 square root of 21 - 4dsquare root of 39n}{3dn}
b A LaTex expression showing \frac{nsquare root of 21 - 4dsquare root of 39}{3{d} to the power of 3 }
c A LaTex expression showing \frac{nsquare root of 21 - 4dsquare root of 39}{3{d} to the power of -1 }
d A LaTex expression showing \frac{square root of 21 + 4dsquare root of 39n}{3d{n} to the power of -1 }
e A LaTex expression showing \frac{{n} to the power of 2 square root of 21 + 4dsquare root of 39{n to the power of -1 }}{3dn}
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{{c} to the power of 2 square root of 11p + 4cpsquare root of 11c}{{p} to the power of 2 square root of 3c}
a A LaTex expression showing \frac{csquare root of 33cp + 4pcsquare root of 33}{3{p} to the power of 2 }
b A LaTex expression showing \frac{csquare root of 33cp + pcsquare root of 33}{3p}
c A LaTex expression showing \frac{square root of 33cp + 4p}{3{p} to the power of 2 c}
d A LaTex expression showing \frac{csquare root of 33cp + 4p{c} to the power of -1 square root of 33}{{p} to the power of 2 }
e A LaTex expression showing \frac{5csquare root of 33cp + 4pcsquare root of 33}{3{p} to the power of 2 {c} to the power of -1 }
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{dpsquare root of 5 - 3square root of 13p}{psquare root of 13}
a A LaTex expression showing \frac{pdsquare root of 65 - 39square root of {p to the power of -1 }}{p}
b A LaTex expression showing \frac{dsquare root of 130 - 39square root of 2p}{26}
c A LaTex expression showing \frac{dsquare root of 65 + 39}{13p}
d A LaTex expression showing \frac{pdsquare root of 65 - square root of p}{13p}
e A LaTex expression showing \frac{pdsquare root of 65 - 39square root of p}{13p}
8
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{4{n} to the power of 2 square root of 11r - {r} to the power of 2 nsquare root of 2}{nsquare root of 13n}
a A LaTex expression showing \frac{2{n} to the power of 2 square root of 286r + {r} to the power of 2 square root of 13n}{13n}
b A LaTex expression showing \frac{4nsquare root of 143nr - {r} to the power of 2 square root of 26n}{13n}
c A LaTex expression showing \frac{4nsquare root of 143nr + {r} to the power of 2 square root of 26{n to the power of -1 }}{13}
d A LaTex expression showing \frac{4square root of 143nr + {r} to the power of 2 square root of 26}{13n}