Radicals - Divide Binomials by Monomials (Values Only) (Level 2) - Mobius Math Academy

Divide Binomials by Monomials (Values Only) (Level 2)

This math topic focuses on practicing the division of radical expressions, specifically dividing binomials by monomials. The problems require simplifying radical expressions after performing the division. Each problem presents a distinct radical division scenario, and students are tasked with simplifying the result to arrive at the correct answer from multiple choices given. This is part of an introductory unit on radical division, aiming to deepen understanding of manipulating and simplifying expressions under radical signs.

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 Only) Worksheet

Radicals - Divide Binomials by Monomials (Values Only)

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 7 + square root of 13}{square root of 3}$

a $A LaTex expression showing \frac{square root of 21 + square root of 39}{3}$

b $A LaTex expression showing \frac{square root of 21 + 3square root of 39}{5}$

A LaTex expression showing square root of 21 + 1

A LaTex expression showing square root of 21 + square root of 39

e $A LaTex expression showing \frac{5square root of 7 - square root of 13}{3}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 11 - square root of 13}{square root of 5}$

A LaTex expression showing square root of 55 + 1

b $A LaTex expression showing \frac{square root of 55 - square root of 65}{5}$

A LaTex expression showing square root of 55 - square root of 65

A LaTex expression showing 1 - square root of 65

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 2 + square root of 13}{square root of 3}$

A LaTex expression showing square root of 3 + square root of 39

b $A LaTex expression showing \frac{2square root of 3 + square root of 78}{6}$

c $A LaTex expression showing \frac{square root of 6 + square root of 39}{3}$

A LaTex expression showing square root of 6 + 1

A LaTex expression showing square root of 6 - 4square root of 39

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 7 + square root of 3}{square root of 7}$

a $A LaTex expression showing \frac{1 - square root of 21}{3}$

A LaTex expression showing 7 + square root of 3

A LaTex expression showing 7 + square root of 21

A LaTex expression showing 7 - square root of 21

e $A LaTex expression showing \frac{7 + square root of 21}{7}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 3 + square root of 11}{square root of 2}$

a $A LaTex expression showing \frac{square root of 6 + square root of 22}{2}$

b $A LaTex expression showing \frac{square root of 3 + 2square root of 11}{2}$

A LaTex expression showing square root of 6 + square root of 22

d $A LaTex expression showing \frac{4square root of 6 + square root of 22}{4}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 5 - square root of 11}{square root of 13}$

a $A LaTex expression showing \frac{1 - square root of 143}{13}$

b $A LaTex expression showing \frac{square root of 65 - square root of 143}{13}$

A LaTex expression showing square root of 65 - square root of 143

d $A LaTex expression showing \frac{square root of 65 + 3square root of 143}{5}$

A LaTex expression showing square root of 65 + 1

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 11 - square root of 2}{square root of 2}$

A LaTex expression showing 2square root of 22 + 1

b $A LaTex expression showing \frac{square root of 22 - 2square root of 2}{2}$

A LaTex expression showing square root of 22 + 1

d $A LaTex expression showing \frac{square root of 22 - 2}{2}$

A LaTex expression showing square root of 3 - 2

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 11 + square root of 7}{square root of 5}$

A LaTex expression showing square root of 55 + square root of 35

b $A LaTex expression showing \frac{4square root of 55 + square root of 35}{5}$

A LaTex expression showing 5square root of 55 + square root of 35

d $A LaTex expression showing \frac{square root of 55 + square root of 35}{5}$