Radicals - Divide Binomials by Monomials (Values Only) (Level 3) - Mobius Math Academy

Divide Binomials by Monomials (Values Only) (Level 3)

This topic focuses on practicing the division of binomials by monomials within the context of radicals, specifically handling operations that involve square roots. The math problems aim to improve skills in simplifying radical expressions after performing division. The exercises include various combinations of radicals and constants, where students are required to simplify the radical expressions to find the correct answer from multiple options. This is part of a broader unit introducing the division of radicals, designed to deepen understanding of algebraic manipulations involving square roots.

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

$A LaTex expression showing \frac{square root of 7 - 4square root of 5}{square root of 5}$

a $A LaTex expression showing \frac{square root of 35 - 20}{5}$

A LaTex expression showing square root of 35 + 5

A LaTex expression showing 3square root of 35 + 20

A LaTex expression showing square root of 35 + 20

e $A LaTex expression showing \frac{square root of 35 + 20}{3}$

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{4square root of 14 - square root of 77}{14}$

b $A LaTex expression showing \frac{4square root of 14 - square root of 77}{7}$

A LaTex expression showing 4square root of 14 - square root of 77

d $A LaTex expression showing \frac{4square root of 42 + square root of 3}{21}$

e $A LaTex expression showing \frac{4square root of 14 - 1}{5}$

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{3square root of 2 - square root of 65}{13}$

b $A LaTex expression showing \frac{3square root of 39 + square root of 65}{2}$

c $A LaTex expression showing \frac{3square root of 39 - square root of 65}{13}$

d $A LaTex expression showing \frac{3 + square root of 65}{13}$

e $A LaTex expression showing \frac{3square root of 3 - square root of 195}{39}$

Divide the radical expressions and simplify the answer

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

A LaTex expression showing 2square root of 10 + 5square root of 22

b $A LaTex expression showing \frac{square root of 10 + 5square root of 22}{2}$

A LaTex expression showing square root of 10 + 5square root of 22

d $A LaTex expression showing \frac{5square root of 10 + 5square root of 22}{2}$

A LaTex expression showing 4square root of 10 - 5square root of 22

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{square root of 91 + 2}{3}$

b $A LaTex expression showing \frac{square root of 91 + 2square root of 143}{13}$

A LaTex expression showing 3square root of 91 + 2square root of 143

A LaTex expression showing 1 + 2square root of 143

A LaTex expression showing square root of 91 - square root of 143

Divide the radical expressions and simplify the answer

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

A LaTex expression showing square root of 22 + square root of 10

A LaTex expression showing 5 - square root of 10

c $A LaTex expression showing \frac{5square root of 22 + 1}{3}$

d $A LaTex expression showing \frac{5square root of 22 - square root of 10}{2}$

e $A LaTex expression showing \frac{5square root of 22 - 1}{3}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 11 + 2square root of 13}{square root of 5}$

a $A LaTex expression showing \frac{square root of 55 + 2square root of 65}{5}$

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

c $A LaTex expression showing \frac{square root of 110 + 4square root of 130}{10}$

A LaTex expression showing 1 - 2square root of 65

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{square root of 14 + square root of 6}{2}$

b $A LaTex expression showing \frac{square root of 14 + 3square root of 6}{2}$

A LaTex expression showing 1 - 3square root of 6

d $A LaTex expression showing \frac{square root of 14 + 3square root of 2}{2}$

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