Radical

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.

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Divide Binomials by Monomials (Values and Variables)

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Divide the radical expressions and simplify the answer

p3p13p5p\frac{p\sqrt{3p} - \sqrt{13}}{p\sqrt{5p}}

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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{rsquare root of 3r + rsquare root of 5}{{r} to the power of 2 square root of 5}
a A LaTex expression showing \frac{square root of 15r + 1}{5{r} to the power of -1 }
b A LaTex expression showing \frac{square root of 15r + 5}{5r}
c A LaTex expression showing \frac{square root of 15r + 1}{r}
d A LaTex expression showing \frac{3square root of 15r + 5}{r}
e A LaTex expression showing \frac{square root of 15{r to the power of -1 } + 5}{r}
f A LaTex expression showing \frac{square root of 15r - 5}{2r}
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 2d - square root of 11}{square root of 7d}
a A LaTex expression showing \frac{{d} to the power of 3 square root of 14 + square root of 77d}{7d}
b A LaTex expression showing \frac{{d} to the power of -1 square root of 14 - square root of 77d}{3d}
c A LaTex expression showing \frac{2square root of 7 + square root of 154d}{14d}
d A LaTex expression showing \frac{dsquare root of 14 - square root of 77d}{7d}
e A LaTex expression showing \frac{{d} to the power of 3 square root of 14 + square root of 77d}{7{d} to the power of -1 }
f A LaTex expression showing \frac{{d} to the power of 2 square root of 14 - square root of 77d}{d}
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{{y} to the power of 2 square root of 11 + square root of 2}{square root of 13y}
a A LaTex expression showing \frac{{y} to the power of 2 square root of 143y + square root of 26y}{13y}
b A LaTex expression showing \frac{{y} to the power of 2 square root of 143y + square root of y}{y}
c A LaTex expression showing \frac{{y} to the power of 3 square root of 143 - square root of 26y}{13{y} to the power of -1 }
d A LaTex expression showing \frac{{y} to the power of 2 square root of 143y + 5square root of 26y}{3y}
e A LaTex expression showing \frac{square root of 143y + square root of 26y}{13{y} to the power of 3 }
f A LaTex expression showing \frac{{y} to the power of 3 square root of 429y + square root of 78y}{39y}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 5c + square root of 2c}{csquare root of 11}
a A LaTex expression showing \frac{square root of c + square root of 22c}{11c}
b A LaTex expression showing \frac{square root of 55c + square root of 22c}{11c}
c A LaTex expression showing \frac{square root of 55 - square root of 22c}{11{c} to the power of 3 }
d A LaTex expression showing \frac{square root of c - square root of 22c}{4c}
e A LaTex expression showing \frac{square root of 55c + square root of 22}{11{c} to the power of 2 }
f A LaTex expression showing \frac{square root of 55c + csquare root of 22}{4c}
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{{n} to the power of 2 square root of 11 - {n} to the power of 2 square root of 7}{nsquare root of 11}
a A LaTex expression showing \frac{11nsquare root of 6 + nsquare root of 231}{33}
b A LaTex expression showing \frac{11n - {n} to the power of -1 square root of 77}{11}
c A LaTex expression showing \frac{11n - nsquare root of 77}{11}
d A LaTex expression showing 11n - nsquare root of 77
e A LaTex expression showing 11n + 3nsquare root of 77
f A LaTex expression showing 11n + 2nsquare root of 77
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{csquare root of 3c + square root of 5}{csquare root of 5}
a A LaTex expression showing \frac{csquare root of 15c + 10}{5{c} to the power of 3 }
b A LaTex expression showing \frac{csquare root of 15c + 1}{c}
c A LaTex expression showing \frac{csquare root of 15c + 5}{5c}
d A LaTex expression showing \frac{csquare root of 15c + 5square root of 2}{5c}
e A LaTex expression showing \frac{csquare root of 15c + 5square root of 3}{2c}
f A LaTex expression showing \frac{csquare root of 15c + 5}{2c}
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{bsquare root of 2b - square root of 13b}{square root of 7}
a A LaTex expression showing \frac{2bsquare root of 7b - square root of 182}{14}
b A LaTex expression showing \frac{square root of 14b - square root of 91b}{14}
c A LaTex expression showing {b} to the power of 2 square root of 14 - square root of 91b
d A LaTex expression showing \frac{bsquare root of 14b - square root of 91b}{7}
e A LaTex expression showing bsquare root of 14b + square root of 91b
f A LaTex expression showing bsquare root of 14 - square root of 91b