Radical

Divide Binomials by Monomials (Values Only) (Level 4)

This math topic focuses on the division of radical expressions, specifically dividing binomials by monomials, and simplifying the results. It covers various scenarios where students will divide complex radical terms and then select the correct simplified form from multiple choice options. The exercises challenge students to apply their understanding of radicals and their properties, including multiplying and simplifying under the radical sign, to successfully simplify the given expressions and choose the correct answers. This is part of a broader unit introducing division involving radicals.

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

more

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} - 2\sqrt{3}}{2\sqrt{11}}

Earned ?

Radicals - Divide Binomials by Monomials (Values Only) Worksheet

Math worksheet on 'Radicals - Divide Binomials by Monomials (Values Only) (Level 4)'. 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

$A LaTex expression showing \frac{3square root of 7 - square root of 7}{2square root of 13}$

A LaTex expression showing square root of 91

b $A LaTex expression showing \frac{square root of 91}{13}$

A LaTex expression showing 1 over 13

A LaTex expression showing 1

A LaTex expression showing 1 over 26

A LaTex expression showing 2square root of 91

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 7 + 4square root of 3}{3square root of 11}$

a $A LaTex expression showing \frac{square root of 77 + 4square root of 33}{3}$

A LaTex expression showing square root of 77 + 3square root of 33

c $A LaTex expression showing \frac{square root of 77 + square root of 33}{33}$

A LaTex expression showing square root of 77 + square root of 33

e $A LaTex expression showing \frac{square root of 77 + 4square root of 33}{33}$

A LaTex expression showing 1 + 4square root of 33

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 11 + 5square root of 7}{2square root of 5}$

a $A LaTex expression showing \frac{square root of 55 + 5square root of 35}{10}$

b $A LaTex expression showing \frac{square root of 55 + 3square root of 35}{2}$

A LaTex expression showing 2square root of 55 + 5square root of 35

A LaTex expression showing 1 + 5square root of 35

A LaTex expression showing square root of 55 + 2square root of 35

f $A LaTex expression showing \frac{1 - 5square root of 35}{10}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 7 - 4square root of 11}{2square root of 3}$

A LaTex expression showing square root of 21 - 4square root of 33

b $A LaTex expression showing \frac{square root of 42 - square root of 66}{3}$

c $A LaTex expression showing \frac{square root of 21 + 4square root of 33}{3}$

d $A LaTex expression showing \frac{square root of 2 - 4square root of 33}{2}$

e $A LaTex expression showing \frac{square root of 21 - 4square root of 33}{3}$

f $A LaTex expression showing \frac{square root of 21 - 4square root of 33}{6}$

Divide the radical expressions and simplify the answer

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

A LaTex expression showing over 5

A LaTex expression showing 1 + square root of 6

c $A LaTex expression showing \frac{1 + square root of 6}{5}$

A LaTex expression showing 2 over 5

e $A LaTex expression showing \frac{1 + square root of 6}{2}$

f $A LaTex expression showing \frac{1 + square root of 6}{3}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{2square root of 7 + square root of 7}{2square root of 13}$

a $A LaTex expression showing \frac{square root of 3}{26}$

b $A LaTex expression showing \frac{5square root of 91}{4}$

A LaTex expression showing 3

d $A LaTex expression showing \frac{square root of 91}{26}$

e $A LaTex expression showing \frac{square root of 91}{5}$

f $A LaTex expression showing \frac{3square root of 91}{26}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{2square root of 7 - square root of 5}{2square root of 13}$

a $A LaTex expression showing \frac{square root of 91 - square root of 65}{26}$

A LaTex expression showing 2square root of 91 + 1

c $A LaTex expression showing \frac{2square root of 91 - square root of 65}{26}$

d $A LaTex expression showing \frac{square root of 91 - square root of 65}{52}$

e $A LaTex expression showing \frac{square root of 91 + square root of 65}{26}$

f $A LaTex expression showing \frac{2 - square root of 65}{2}$