Radical

Divide Monomials (Values and Variables) (Level 1)

This math topic focuses on simplifying radical expressions involving the division of monomials, which consist of numbers and variables. Each problem requires students to divide two radical expressions, then simplify them to their most elementary form. The exercises provide multiple-choice answers, helping students practice and master the manipulation of radicals, including operations that involve variables with exponents, across various conceptual levels.

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

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Divide Monomials (Values and Variables)

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Divide the radical expressions and simplify the answer

\frac{\sqrt{325{n}^{4}}}{\sqrt{13{n}^{3}}}

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Radicals - Divide Monomials (Values and Variables) Worksheet

Math worksheet on 'Radicals - Divide Monomials (Values and Variables) (Level 1)'. Part of a broader unit on 'Radicals - Division Intro' Learn online: app.mobius.academy/math/units/radicals_division_intro/

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 7b}{square root of 63b}$

A LaTex expression showing 1

A LaTex expression showing square root of 3

A LaTex expression showing 2 over 3

A LaTex expression showing 3

A LaTex expression showing 1 over 3

f $A LaTex expression showing \frac{square root of 3}{3}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 2z}{square root of 32}$

A LaTex expression showing square root of z

b $A LaTex expression showing \frac{square root of z}{4}$

c $A LaTex expression showing \frac{5square root of 3z}{12}$

d $A LaTex expression showing \frac{3square root of z}{4}$

e $A LaTex expression showing \frac{square root of z}{2}$

A LaTex expression showing z

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 5}{square root of 125{c to the power of 3 }}$

a $A LaTex expression showing \frac{square root of 3c}{{c} to the power of 2 }$

A LaTex expression showing 1 over 5c

c $A LaTex expression showing \frac{square root of c}{5{c} to the power of 2 }$

d $A LaTex expression showing \frac{4square root of c}{{c} to the power of 2 }$

e $A LaTex expression showing \frac{square root of {c to the power of -1 }}{5{c} to the power of 3 }$

f $A LaTex expression showing \frac{2square root of c}{5}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 208{c to the power of 3 }}{square root of 13{c to the power of 3 }}$

A LaTex expression showing 1 over 4

A LaTex expression showing 2square root of 3

A LaTex expression showing 4

A LaTex expression showing 4square root of 2

A LaTex expression showing 1

A LaTex expression showing 5

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 11{d to the power of 2 }}{square root of 99}$

A LaTex expression showing d over 3

A LaTex expression showing d over 6

c $A LaTex expression showing \frac{dsquare root of 2}{6}$

A LaTex expression showing d over 4

A LaTex expression showing {d} to the power of -1

A LaTex expression showing 5d

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 11d}{square root of 176{d to the power of 2 }}$

a $A LaTex expression showing \frac{square root of d}{5d}$

b $A LaTex expression showing \frac{square root of {d to the power of -1 }}{4d}$

c $A LaTex expression showing \frac{square root of d}{4d}$

A LaTex expression showing 1 over 2

e $A LaTex expression showing \frac{square root of {d to the power of -1 }}{4}$

A LaTex expression showing 1 over d

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 125{x to the power of 4 }}{square root of 5}$

A LaTex expression showing 5{x} to the power of 4

A LaTex expression showing 5x over 3

c $A LaTex expression showing \frac{{x} to the power of 2 }{4}$

A LaTex expression showing 5{x} to the power of 2

A LaTex expression showing 2{x} to the power of 2

A LaTex expression showing {x} to the power of 2 square root of 2