Radical

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.

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Divide Binomials by Monomials (Values Only)

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{13} + 5}{\sqrt{3}}

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Radicals - Divide Binomials by Monomials (Values Only) Worksheet

Math worksheet on 'Radicals - Divide Binomials by Monomials (Values Only) (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

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

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

b $A LaTex expression showing \frac{square root of 2 - 1}{2}$

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

A LaTex expression showing square root of 2 + 2

e $A LaTex expression showing \frac{square root of 2 + 1}{2}$

f $A LaTex expression showing \frac{3square root of 2 - 1}{4}$

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{1 + 3square root of 2}{5}$

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

c $A LaTex expression showing \frac{1 + 3square root of 2}{2}$

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

A LaTex expression showing 2 - 3square root of 2

A LaTex expression showing 1

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{1 - square root of 5}{4}$

A LaTex expression showing 3 over 5

c $A LaTex expression showing \frac{square root of 2 - square root of 10}{2}$

A LaTex expression showing 1 - square root of 5

A LaTex expression showing 1 - 5square root of 5

A LaTex expression showing 1 - 3square root of 5

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{square root of 13 + square root of 39}{26}$

b $A LaTex expression showing \frac{square root of 13 + square root of 39}{2}$

A LaTex expression showing 2square root of 13 + square root of 39

A LaTex expression showing square root of 13 + square root of 39

A LaTex expression showing 2square root of 13 - 1

f $A LaTex expression showing \frac{2square root of 13 + square root of 39}{13}$

Divide the radical expressions and simplify the answer

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

A LaTex expression showing 5square root of 3 - 11

b $A LaTex expression showing \frac{5square root of 11 - 4}{11}$

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

d $A LaTex expression showing \frac{5square root of 11 + 1}{11}$

A LaTex expression showing 5square root of 11 - 1

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

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{3square root of 7 - 4square root of 77}{7}$

b $A LaTex expression showing \frac{3square root of 7 - 1}{4}$

A LaTex expression showing 3square root of 2 + square root of 77

d $A LaTex expression showing \frac{3square root of 7 + square root of 77}{7}$

e $A LaTex expression showing \frac{3square root of 7 - square root of 77}{7}$

f $A LaTex expression showing \frac{3square root of 7 + 5square root of 77}{7}$

Divide the radical expressions and simplify the answer

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

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

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

A LaTex expression showing square root of 15 + 5square root of 3

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

e $A LaTex expression showing \frac{square root of 15 + 5square root of 3}{3}$

A LaTex expression showing square root of 15 + square root of 3