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Radical

Divide Binomials (Values Only) (Level 2)

This math topic focuses on dividing binomials with radicals and simplifying the results. It is part of an introduction to division involving radicals. The problems require students to divide expressions containing square roots, represented by various binomial formats, and then identify the correct simplified form from multiple choices. Techniques likely practiced include rationalizing denominators and combining like terms within radical expressions. The skills emphasized are crucial for understanding higher-level algebra involving radicals and their operations.

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+313−3\frac{\sqrt{13} + \sqrt{3}}{\sqrt{13} - \sqrt{3}}

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Radicals - Divide Binomials (Values Only) Worksheet

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Math worksheet on 'Radicals - Divide Binomials (Values Only) (Level 2)'. 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{square root of 2 + square root of 2}{square root of 11 - square root of 13}
a A LaTex expression showing \frac{square root of 22 + 5square root of 26}{-1}
b A LaTex expression showing square root of 22 + 5square root of 26
c A LaTex expression showing 1 + square root of 26
d A LaTex expression showing square root of 2 + square root of 26
e A LaTex expression showing square root of 22 + square root of 26
f A LaTex expression showing \frac{square root of 22 + square root of 26}{-1}
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 7 - square root of 2}{square root of 11 - square root of 7}
a A LaTex expression showing \frac{square root of 77 + 7 + 1 - square root of 14}{4square root of 4}
b A LaTex expression showing square root of 77 + 7 - 5 + square root of 14
c A LaTex expression showing \frac{square root of 77 - 7 - square root of 22 + square root of 14}{5}
d A LaTex expression showing \frac{square root of 77 + 7 - square root of 22 - square root of 14}{4}
e A LaTex expression showing \frac{1 + 7square root of 2 - square root of 22 - square root of 14}{2}
f A LaTex expression showing square root of 77 + 7square root of 3 - 3square root of 22 + square root of 14
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 11 - square root of 5}{square root of 5 - square root of 3}
a A LaTex expression showing \frac{square root of 55 + 4square root of 33 - 5 - square root of 15}{2}
b A LaTex expression showing \frac{square root of 55 + square root of 33 - 5 - square root of 15}{2}
c A LaTex expression showing \frac{2square root of 55 + square root of 33 - 5 - square root of 15}{2}
d A LaTex expression showing square root of 55 + 1 - 1 - square root of 15
e A LaTex expression showing square root of 55 + square root of 33 - 5 - square root of 15
f A LaTex expression showing \frac{1 + square root of 33 + 3 - square root of 15}{5}
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 5 + square root of 13}{square root of 3 - square root of 2}
a A LaTex expression showing square root of 15 + square root of 10 + 1 + square root of 26
b A LaTex expression showing \frac{square root of 15 + square root of 10 - 2square root of 39 + square root of 26}{5}
c A LaTex expression showing square root of 15 + square root of 10 + square root of 39 + square root of 26
d A LaTex expression showing square root of 15 + 4square root of 10 - square root of 39 + square root of 26
e A LaTex expression showing square root of 15 - square root of 10 + square root of 39 + 3square root of 26
f A LaTex expression showing \frac{1 + square root of 10 - 3square root of 39 + square root of 26}{5}
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 7 - square root of 3}{square root of 13 - square root of 7}
a A LaTex expression showing square root of 91 + 7 + 5square root of 39 - 1
b A LaTex expression showing \frac{square root of 91 + 7 - 1 - square root of 21}{5}
c A LaTex expression showing \frac{square root of 91 + 7 - 4square root of 39 + square root of 21}{6square root of 2}
d A LaTex expression showing square root of 91 + 7square root of 3 - square root of 39 + square root of 21
e A LaTex expression showing square root of 91 - 7 - square root of 39 + square root of 21
f A LaTex expression showing \frac{square root of 91 + 7 - square root of 39 - square root of 21}{6}
6
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 5 - square root of 2}{square root of 5 - square root of 3}
a A LaTex expression showing 5 + 4square root of 15 - 1 - square root of 6
b A LaTex expression showing \frac{5 + square root of 15 - square root of 10 - square root of 6}{2}
c A LaTex expression showing \frac{5 + 1 + 3square root of 10 - square root of 6}{2}
d A LaTex expression showing 1 + square root of 15 + square root of 10 - square root of 6
e A LaTex expression showing \frac{5 + square root of 15 - square root of 2 + square root of 6}{2square root of 2}
f A LaTex expression showing 5 + square root of 15 - 4square root of 10 + square root of 6
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 7 + square root of 13}{square root of 3 - square root of 13}
a A LaTex expression showing \frac{square root of 21 + square root of 91 + square root of 39 + 13}{-10}
b A LaTex expression showing square root of 21 + square root of 91 + square root of 39 + 2
c A LaTex expression showing \frac{3square root of 21 + 3square root of 91 + square root of 39 + 13}{2}
d A LaTex expression showing \frac{square root of 21 + square root of 91 + square root of 39 + 13}{2}
e A LaTex expression showing \frac{square root of 21 - square root of 91 + 2square root of 39 + 13}{-10}
f A LaTex expression showing \frac{square root of 21 + 4square root of 91 + square root of 39 - 13}{4}