Radicals - Divide Binomials by Monomials (Values Only) (Level 1) - Mobius Math Academy

Divide Binomials by Monomials (Values Only) (Level 1)

This math topic focuses on practicing the skills related to dividing radical expressions, specifically dividing binomials containing radicals by monomials. It includes simplifying the resulting expressions after division. The topic is part of an introductory module on radical division, where students encounter various problems requiring them to reducing, simplify, and restructure radical terms and expressions across different difficulty levels and configurations. Each problem presents a division of radicals problem, coupled with multiple choice answers that feature different levels of simplification and manipulation of radical expressions.

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

more

Radicals - Divide Binomials by Monomials (Values Only) Worksheet

Radicals - Divide Binomials by Monomials (Values Only)

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 5 + 2}{square root of 3}$

a $A LaTex expression showing \frac{square root of 15 + 2square root of 2}{5}$

b $A LaTex expression showing \frac{square root of 15 + 2square root of 3}{4}$

c $A LaTex expression showing \frac{square root of 15 + square root of 3}{6}$

d $A LaTex expression showing \frac{square root of 15 + 2square root of 3}{3}$

e $A LaTex expression showing \frac{square root of 15 - 2square root of 3}{3}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{2 + square root of 3}{square root of 7}$

a $A LaTex expression showing \frac{2square root of 7 + square root of 21}{7}$

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

A LaTex expression showing 2square root of 7 - 2square root of 21

d $A LaTex expression showing \frac{2square root of 14 - square root of 42}{14}$

e $A LaTex expression showing \frac{2square root of 3 + 3square root of 7}{21}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{4 - square root of 13}{square root of 5}$

a $A LaTex expression showing \frac{4square root of 5 - square root of 65}{5}$

b $A LaTex expression showing \frac{4square root of 5 + 3square root of 65}{5}$

c $A LaTex expression showing \frac{4 + square root of 65}{3}$

A LaTex expression showing square root of 5 + square root of 65

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

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 2 - 5}{square root of 7}$

A LaTex expression showing square root of 14 - 10

A LaTex expression showing square root of 14 - 5square root of 7

A LaTex expression showing square root of 14 + 5

d $A LaTex expression showing \frac{square root of 14 - 5square root of 7}{7}$

e $A LaTex expression showing \frac{square root of 14 - 5square root of 3}{7}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{3 + square root of 7}{square root of 11}$

a $A LaTex expression showing \frac{3square root of 11 + square root of 77}{11}$

A LaTex expression showing 4square root of 11 + square root of 77

c $A LaTex expression showing \frac{3square root of 11 + 4square root of 77}{11}$

A LaTex expression showing 2square root of 11 + square root of 77

e $A LaTex expression showing \frac{3square root of 2 + square root of 77}{3}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 2 - 4}{square root of 5}$

a $A LaTex expression showing \frac{square root of 10 - 4square root of 5}{5}$

A LaTex expression showing square root of 10 + square root of 5

c $A LaTex expression showing \frac{2square root of 30 - 4square root of 15}{15}$

d $A LaTex expression showing \frac{square root of 10 + 4}{3}$

e $A LaTex expression showing \frac{square root of 10 - square root of 5}{5}$

Divide the radical expressions and simplify the answer

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

A LaTex expression showing 3square root of 21 + 5square root of 7

b $A LaTex expression showing \frac{square root of 21 + 5square root of 7}{7}$

A LaTex expression showing square root of 21 - square root of 7

d $A LaTex expression showing \frac{square root of 21 - 5square root of 7}{7}$

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{5 - 2square root of 5}{5}$

A LaTex expression showing 1

A LaTex expression showing 5 - 2square root of 5

d $A LaTex expression showing \frac{5 + 2square root of 5}{5}$

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