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Radical

Divide Binomials (Values Only) (Level 1)

This math topic focuses on dividing binomial expressions containing radicals and simplifying the results. It includes various problems where students are tasked to divide expressions under a radical and choose the correct simplified form from multiple options. The expressions primarily involve square roots combined with integer terms. The main objective is to practice manipulating and simplifying radical expressions involving division of binomials, enhancing skills in algebraic manipulation of roots and rational expressions.

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

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Divide Binomials (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

13+211−2\frac{\sqrt{13} + 2}{\sqrt{11} - 2}

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Radicals - Divide Binomials (Values Only) Worksheet

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Math worksheet on 'Radicals - Divide Binomials (Values Only) (Level 1)'. Part of a broader unit on 'Radicals - Division Intro' Learn online: app.mobius.academy/math/units/radicals_division_intro/
1
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{4 - square root of 3}{3 + square root of 13}
a A LaTex expression showing \frac{12 + square root of 13 - 2square root of 3 + square root of 39}{5}
b A LaTex expression showing \frac{1 - 4square root of 13 - square root of 3 - square root of 39}{3}
c A LaTex expression showing \frac{12 - square root of 13 - 3square root of 3 + square root of 39}{4}
d A LaTex expression showing 12 - 4square root of 13 - 3square root of 3 + square root of 39
e A LaTex expression showing \frac{12 - 4square root of 13 - 3square root of 3 + square root of 39}{-4}
f A LaTex expression showing \frac{1 - square root of 13 + 3square root of 3 - square root of 39}{4}
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{5 + square root of 5}{square root of 3 - 3}
a A LaTex expression showing \frac{5square root of 3 + 15 + square root of 15 + 3square root of 5}{-6}
b A LaTex expression showing \frac{5square root of 3 + 1 - square root of 15 + square root of 5}{-6}
c A LaTex expression showing \frac{5square root of 3 - 1 + 3square root of 15 + 3square root of 5}{3}
d A LaTex expression showing \frac{5square root of 3 + 2 + square root of 15 + 3square root of 5}{-6}
e A LaTex expression showing \frac{square root of 3 + 15 + square root of 15 - 3square root of 5}{-6square root of 3}
f A LaTex expression showing \frac{5square root of 3 + 15 + square root of 3 + square root of 5}{-6square root of 3}
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{2 - square root of 13}{square root of 5 - 3}
a A LaTex expression showing \frac{2square root of 5 + 1 - square root of 65 - square root of 13}{-4}
b A LaTex expression showing 2 - 6 - square root of 65 + 3square root of 13
c A LaTex expression showing 2square root of 5 - 6 + square root of 65 - 3square root of 13
d A LaTex expression showing 2square root of 5 + 6 - 4square root of 65 - 3square root of 13
e A LaTex expression showing 2square root of 5 + 1 - square root of 65 - square root of 13
f A LaTex expression showing \frac{2square root of 5 + 6 - square root of 65 - 3square root of 13}{-4}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 11 + 5}{square root of 13 - 3}
a A LaTex expression showing 2 + 3square root of 11 + 5square root of 13 + 15
b A LaTex expression showing \frac{square root of 143 + square root of 11 - 5square root of 13 + 15square root of 2}{3}
c A LaTex expression showing \frac{square root of 143 + 3square root of 11 + 5square root of 13 + 15}{4}
d A LaTex expression showing \frac{square root of 143 + 3square root of 11 - 5square root of 13 + 4}{5}
e A LaTex expression showing \frac{square root of 143 + 3square root of 11 + 1 - 15}{2}
f A LaTex expression showing square root of 143 + 3square root of 11 + square root of 13 + 15
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{5 - square root of 3}{square root of 3 + 5}
a A LaTex expression showing 3square root of 3 + 14
b A LaTex expression showing \frac{5square root of 3 + 1}{3}
c A LaTex expression showing 5square root of 3 + 1
d A LaTex expression showing \frac{5square root of 3 - 14}{-11}
e A LaTex expression showing \frac{5square root of 3 + 1}{4}
f A LaTex expression showing 5square root of 3 - 14
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{2 + square root of 3}{square root of 2 - 4}
a A LaTex expression showing \frac{2square root of 2 + 8 + square root of 6 + 4square root of 3}{-14}
b A LaTex expression showing \frac{2square root of 2 - 8 + square root of 6 + square root of 3}{5}
c A LaTex expression showing \frac{2square root of 2 + 8 - square root of 6 + square root of 3}{5}
d A LaTex expression showing \frac{2 + 8 + square root of 6 + square root of 3}{-14square root of 4}
e A LaTex expression showing 2 + 8 + 3square root of 6 - 4square root of 3
f A LaTex expression showing 2square root of 2 + 2square root of 4 + square root of 6 + 4square root of 3
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{4 - square root of 3}{4 - square root of 5}
a A LaTex expression showing 16 + square root of 5 - square root of 3 - square root of 15
b A LaTex expression showing \frac{1 + 3square root of 5 - 4square root of 3 + square root of 15}{2}
c A LaTex expression showing \frac{16 + 4square root of 5 - 4square root of 3 - square root of 15}{11}
d A LaTex expression showing 3 + 4square root of 5 - 3square root of 3 - square root of 15
e A LaTex expression showing 16square root of 2 + 4square root of 5 + square root of 3 - square root of 15
f A LaTex expression showing \frac{16 + 4square root of 5 - square root of 3 - 5square root of 15}{11square root of 2}