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Radicals

Divide Monomials (Values and Variables) (Level 2)

This math topic focuses on dividing monomials involving radicals, specifically addressing the division of radical expressions with both numeric and variable components. Each problem requires simplifying the resulting expressions after division, challenging the student to apply rules of exponents and radical simplification. The content is positioned as a Level 2 difficulty within a broader unit on the introduction to radical division, preparing learners to handle more complex algebraic manipulations involving square roots and variable terms.

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

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Radicals - Divide Monomials (Values and Variables) Worksheet

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Math worksheet on 'Radicals - Divide 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{square root of 48{p to the power of 3 }}{square root of 75{p to the power of 2 }}
a A LaTex expression showing \frac{square root of p}{5}
b A LaTex expression showing \frac{4square root of p}{5}
c A LaTex expression showing \frac{square root of p}{2}
d A LaTex expression showing 4p
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 80{p to the power of 4 }}{square root of 20}
a A LaTex expression showing \frac{2{p} to the power of 4 square root of 3}{3}
b A LaTex expression showing 2{p} to the power of 2
c A LaTex expression showing {p} to the power of 3
d A LaTex expression showing 2
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 20{d to the power of 4 }}{square root of 80{d to the power of 3 }}
a A LaTex expression showing \frac{square root of d}{2}
b A LaTex expression showing d over 2
c A LaTex expression showing \frac{dsquare root of d}{2}
d A LaTex expression showing 2square root of d
e A LaTex expression showing \frac{square root of d}{4}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 75x}{square root of 48}
a A LaTex expression showing square root of x
b A LaTex expression showing \frac{5square root of x}{4}
c A LaTex expression showing 5square root of x
d A LaTex expression showing \frac{5square root of {x to the power of -1 }}{4}
e A LaTex expression showing 2square root of x
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 45z}{square root of 20{z to the power of 4 }}
a A LaTex expression showing 3 over 2z
b A LaTex expression showing \frac{3square root of z}{z}
c A LaTex expression showing 1 over z
d A LaTex expression showing \frac{3square root of z}{2{z} to the power of 2 }
e A LaTex expression showing 3 over z
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 8}{square root of 18b}
a A LaTex expression showing \frac{2square root of b}{3b}
b A LaTex expression showing \frac{2square root of {b to the power of -1 }}{3{b} to the power of 3 }
c A LaTex expression showing \frac{square root of b}{b}
d A LaTex expression showing 2 over 3b
e A LaTex expression showing \frac{2square root of 2b}{b}
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 28{m to the power of 4 }}{square root of 112{m to the power of 4 }}
a A LaTex expression showing \frac{square root of 3}{6}
b A LaTex expression showing \frac{square root of 6}{6}
c A LaTex expression showing 1 over 4
d A LaTex expression showing 1 over 2