Radical

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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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{7} + 3\sqrt{3}}{\sqrt{2}}

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Radicals - Divide Binomials by Monomials (Values Only) Worksheet

Math worksheet on 'Radicals - Divide Binomials by Monomials (Values Only) (Level 3)'. 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

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

a $A LaTex expression showing \frac{10 - square root of 15}{10}$

b $A LaTex expression showing \frac{1 - square root of 15}{3}$

c $A LaTex expression showing \frac{10 + square root of 15}{10}$

d $A LaTex expression showing \frac{10 - square root of 15}{5}$

A LaTex expression showing 5 + square root of 15

f $A LaTex expression showing \frac{10square root of 2 - square root of 30}{10}$

Divide the radical expressions and simplify the answer

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

a $A LaTex expression showing \frac{4square root of 21 + square root of 77}{7}$

b $A LaTex expression showing \frac{4square root of 21 + 2square root of 77}{7}$

c $A LaTex expression showing \frac{4square root of 21 - square root of 77}{4}$

d $A LaTex expression showing \frac{square root of 21 + square root of 77}{7}$

e $A LaTex expression showing \frac{4square root of 2 + square root of 154}{14}$

A LaTex expression showing square root of 21 + square root of 77

Divide the radical expressions and simplify the answer

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

A LaTex expression showing square root of 3 - 6

b $A LaTex expression showing \frac{square root of 22 + 6}{2}$

A LaTex expression showing 5square root of 22 + 6

d $A LaTex expression showing \frac{square root of 22 + 12}{2}$

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

f $A LaTex expression showing \frac{square root of 22 + 6}{4}$

Divide the radical expressions and simplify the answer

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

A LaTex expression showing square root of 143

b $A LaTex expression showing \frac{-4square root of 3}{39}$

c $A LaTex expression showing \frac{square root of 143}{3}$

A LaTex expression showing -4 over 5

A LaTex expression showing 3square root of 143

f $A LaTex expression showing \frac{-4square root of 143}{13}$

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 13 + 3square root of 5}{square root of 2}$

a $A LaTex expression showing \frac{square root of 26 + square root of 10}{2}$

b $A LaTex expression showing \frac{2square root of 26 + 3square root of 10}{2}$

A LaTex expression showing square root of 26 + 3

d $A LaTex expression showing \frac{square root of 26 + 3square root of 10}{2}$

A LaTex expression showing square root of 26 + square root of 10

A LaTex expression showing square root of 26 - 3square root of 10

Divide the radical expressions and simplify the answer

$A LaTex expression showing \frac{square root of 5 + 2square root of 3}{square root of 7}$

a $A LaTex expression showing \frac{square root of 35 + square root of 21}{4}$

A LaTex expression showing square root of 35 + square root of 21

c $A LaTex expression showing \frac{square root of 35 + 2}{7}$

d $A LaTex expression showing \frac{square root of 35 + 2square root of 21}{5}$

A LaTex expression showing square root of 35 - 2square root of 21

f $A LaTex expression showing \frac{square root of 35 + 2square root of 21}{7}$

Divide the radical expressions and simplify the answer

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

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

A LaTex expression showing 3square root of 33

A LaTex expression showing square root of 33

d $A LaTex expression showing \frac{-2square root of 33}{11}$

A LaTex expression showing -2 over 11

f $A LaTex expression showing \frac{2square root of 33}{11}$