Radicals - Divide Binomials by Monomials (Values Only) (Level 4) - Mobius Math Academy

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

Radicals - Divide Binomials by Monomials (Values Only) Worksheet

Radicals - Divide Binomials by Monomials (Values Only)

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{5square root of 3 + square root of 3}{4square root of 2}$

a $A LaTex expression showing \frac{square root of 6}{4}$

A LaTex expression showing 2square root of 6

A LaTex expression showing 3

d $A LaTex expression showing \frac{3square root of 6}{4}$

e $A LaTex expression showing \frac{4square root of 6}{3}$

Divide the radical expressions and simplify the answer

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

A LaTex expression showing 1 + square root of 21

b $A LaTex expression showing \frac{9 + square root of 21}{9}$

c $A LaTex expression showing \frac{9 + 2square root of 21}{3}$

A LaTex expression showing 9 + 5square root of 21

A LaTex expression showing 9 + square root of 21

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{square root of 14}{6}$

b $A LaTex expression showing \frac{square root of 14}{3}$

A LaTex expression showing 1 over 2

d $A LaTex expression showing \frac{square root of 7}{6}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 11 - 4square root of 2}{4square root of 5}$

a $A LaTex expression showing \frac{square root of 55 - 4}{2}$

b $A LaTex expression showing \frac{square root of 55 - 4square root of 10}{20}$

c $A LaTex expression showing \frac{square root of 110 - 2square root of 5}{40}$

d $A LaTex expression showing \frac{square root of 55 - 4square root of 10}{40}$

e $A LaTex expression showing \frac{square root of 165 - square root of 30}{60}$

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{13 - 3square root of 26}{4}$

b $A LaTex expression showing \frac{4 + 3square root of 26}{3}$

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

d $A LaTex expression showing \frac{13 - square root of 26}{5}$

e $A LaTex expression showing \frac{13 - 3square root of 26}{26}$

Divide the radical expressions and simplify the answer

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

A LaTex expression showing 1 + square root of 14

b $A LaTex expression showing \frac{4square root of 3 - square root of 42}{18}$

A LaTex expression showing 4 + square root of 14

d $A LaTex expression showing \frac{4 + square root of 14}{6}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{3square root of 7 + square root of 13}{2square root of 11}$

A LaTex expression showing 3square root of 77 + 3square root of 143

b $A LaTex expression showing \frac{3square root of 77 + square root of 143}{22}$

c $A LaTex expression showing \frac{3square root of 77 + 1}{5}$

A LaTex expression showing 3square root of 77 + 5square root of 143

e $A LaTex expression showing \frac{3square root of 77 - 1}{3}$

Divide the radical expressions and simplify the answer

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

A LaTex expression showing 1

A LaTex expression showing 3 over 4

A LaTex expression showing 6