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Radicals

Divide Binomials by Monomials (Values and Variables) (Level 2)

This math topic focuses on the division of radical expressions, specifically dividing binomials by monomials that include both values and variables. It is a part of a broader unit on introductory division of radicals. The problems involve simplifying expressions under the radical and can include combining like terms or manipulating powers and coefficients within the radical and across the rational expression. It teaches how to simplify complex radical expressions through division, blending algebraic manipulation with radical expression rules. The worksheet likely includes step-by-step problems to develop the skills necessary for handling radicals in algebra.

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 and Variables) Worksheet

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Math worksheet on 'Radicals - Divide Binomials by Monomials (Values and Variables) (Level 2)'. 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{msquare root of 2 - msquare root of 7}{square root of 2}
a A LaTex expression showing \frac{2m + msquare root of 14}{5}
b A LaTex expression showing \frac{2msquare root of 2 + msquare root of 14}{4}
c A LaTex expression showing \frac{2m - msquare root of 14}{2}
d A LaTex expression showing \frac{5m - msquare root of 14}{2}
e A LaTex expression showing 3m
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{rsquare root of 3r - rsquare root of 7}{square root of 3}
a A LaTex expression showing \frac{3r + rsquare root of 21}{3}
b A LaTex expression showing \frac{3rsquare root of r - {r} to the power of -1 square root of 21}{3}
c A LaTex expression showing 3{r} to the power of -1 square root of r - rsquare root of 21
d A LaTex expression showing \frac{3rsquare root of r - rsquare root of 21}{3}
e A LaTex expression showing 3{r} to the power of 2 square root of r + rsquare root of 21
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 13 + square root of 3}{{c} to the power of 2 square root of 3}
a A LaTex expression showing \frac{square root of 39 + 3}{3{c} to the power of 2 }
b A LaTex expression showing \frac{square root of 39 + 1}{3}
c A LaTex expression showing -2 over {c to the power of 2 }
d A LaTex expression showing \frac{5square root of 39 - 3}{3{c} to the power of 2 }
e A LaTex expression showing \frac{square root of 39 + 3}{3c}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 7p + square root of 2p}{psquare root of 5p}
a A LaTex expression showing \frac{square root of 35 + square root of 3}{p}
b A LaTex expression showing \frac{2square root of 35 - square root of 10}{5p}
c A LaTex expression showing \frac{square root of 35 - square root of 10}{p}
d A LaTex expression showing \frac{square root of 35 + square root of 10}{5p}
e A LaTex expression showing \frac{2square root of 35 - square root of 10}{4p}
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 11x + square root of 5x}{square root of 3}
a A LaTex expression showing \frac{xsquare root of 33x - square root of 15x}{2}
b A LaTex expression showing \frac{square root of 33x + square root of 15x}{3}
c A LaTex expression showing square root of 33{x to the power of -1 } + square root of 15x
d A LaTex expression showing \frac{square root of 33x - square root of 15}{3}
e A LaTex expression showing \frac{square root of 33 - square root of 15x}{4}
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{psquare root of 3p - square root of 13}{psquare root of 5p}
a A LaTex expression showing \frac{2{p} to the power of 2 + square root of 65p}{5{p} to the power of 2 }
b A LaTex expression showing \frac{{p} to the power of 2 square root of 15 - square root of 65p}{5{p} to the power of 2 }
c A LaTex expression showing \frac{{p} to the power of 2 square root of 15 + square root of 65p}{{p} to the power of 2 }
d A LaTex expression showing \frac{{p} to the power of 2 square root of 15 + square root of 65p}{5p}
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{dsquare root of 2d + square root of 11d}{square root of 11d}
a A LaTex expression showing \frac{{d} to the power of 3 square root of 22 - 11}{4}
b A LaTex expression showing dsquare root of 22 - 1
c A LaTex expression showing \frac{dsquare root of 22 + 11}{5}
d A LaTex expression showing dsquare root of 22 + 5
e A LaTex expression showing \frac{dsquare root of 22 + 11}{11}