Radical

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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Divide Monomials (Values and Variables)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Divide the radical expressions and simplify the answer

\frac{\sqrt{18}}{\sqrt{8z}}

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Radicals - Divide Monomials (Values and Variables) Worksheet

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/

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 20d}{square root of 80d}$

A LaTex expression showing 1 over 4

A LaTex expression showing 2

A LaTex expression showing 5 over 2

A LaTex expression showing 1 over 2

A LaTex expression showing 1

A LaTex expression showing 5

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 28}{square root of 112{m to the power of 2 }}$

A LaTex expression showing 1 over 2{m to the power of 3 }

A LaTex expression showing 1 over 4m

A LaTex expression showing 1 over 2m

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

A LaTex expression showing 1 over 2

A LaTex expression showing 1

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 125}{square root of 20{m to the power of 3 }}$

A LaTex expression showing 5 over 2

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

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

d $A LaTex expression showing \frac{square root of m}{2m}$

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

f $A LaTex expression showing \frac{5square root of 2m}{2{m} to the power of 4 }$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 28{c to the power of 4 }}{square root of 112}$

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

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

A LaTex expression showing 1 over 3

d $A LaTex expression showing \frac{csquare root of 3}{6}$

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

f $A LaTex expression showing \frac{{c} to the power of 3 }{3}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 48{z to the power of 2 }}{square root of 27z}$

A LaTex expression showing 4 over 3

A LaTex expression showing 4zsquare root of z

A LaTex expression showing 4z

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

e $A LaTex expression showing \frac{4square root of 3}{9}$

A LaTex expression showing 4square root of 3z

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 99{y to the power of 3 }}{square root of 44{y to the power of 2 }}$

A LaTex expression showing 3y

b $A LaTex expression showing \frac{3square root of y}{2}$

A LaTex expression showing 3y over 2

A LaTex expression showing 3

A LaTex expression showing 1

A LaTex expression showing square root of y

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 28{b to the power of 3 }}{square root of 112{b to the power of 4 }}$

A LaTex expression showing 1 over 4b

A LaTex expression showing 1 over 2b

c $A LaTex expression showing \frac{square root of 3b}{6b}$

d $A LaTex expression showing \frac{square root of b}{2b}$

A LaTex expression showing 1 over b

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