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Radicals

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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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 13}{square root of 11 + square root of 2}
a A LaTex expression showing 4 - 2 + square root of 143 + square root of 26
b A LaTex expression showing \frac{square root of 22 - 2 + square root of 143 - 2square root of 26}{5}
c A LaTex expression showing square root of 22 - 5 + square root of 143 - square root of 4
d A LaTex expression showing \frac{square root of 22 - 2 + square root of 143 - square root of 26}{9}
e A LaTex expression showing \frac{square root of 22 - 2 + 1 - 1}{9square root of 3}
2
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 7 + square root of 5}{square root of 7 - square root of 5}
a A LaTex expression showing 6square root of 2 + square root of 35
b A LaTex expression showing \frac{6 - square root of 35}{3}
c A LaTex expression showing 6 + square root of 35
d A LaTex expression showing \frac{1 - square root of 35}{2}
e A LaTex expression showing \frac{5 + square root of 35}{2}
3
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 3 + square root of 3}{square root of 5 - square root of 3}
a A LaTex expression showing \frac{square root of 15 + 3}{2}
b A LaTex expression showing 4square root of 15 + 3
c A LaTex expression showing square root of 15 + 3
d A LaTex expression showing 5square root of 15 + 3
e A LaTex expression showing 2square root of 15 + 3
4
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 13 - square root of 5}{square root of 11 + square root of 5}
a A LaTex expression showing square root of 143 - square root of 65 - 5 + 5
b A LaTex expression showing square root of 143 - square root of 65 + 2square root of 55 + 5
c A LaTex expression showing 1 + square root of 65 - square root of 55 + 5
d A LaTex expression showing square root of 143 - square root of 65 - square root of 55 + 3
e A LaTex expression showing \frac{square root of 143 - square root of 65 - square root of 55 + 5}{6}
5
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 13 + square root of 3}{square root of 13 - square root of 7}
a A LaTex expression showing \frac{13 + square root of 91 + square root of 39 + square root of 21}{6}
b A LaTex expression showing 2 + square root of 91 + square root of 39 + square root of 21
c A LaTex expression showing \frac{13 + 1 - square root of 39 + square root of 21}{6}
d A LaTex expression showing \frac{1 + 5square root of 91 + square root of 39 + square root of 21}{3}
e A LaTex expression showing \frac{13 - 1 + square root of 39 + square root of 21}{4}
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 2 - square root of 13}
a A LaTex expression showing \frac{square root of 10 + 1 - 2 - square root of 26}{-11square root of 4}
b A LaTex expression showing square root of 10 + square root of 65 + 2 - square root of 26
c A LaTex expression showing \frac{square root of 10 + square root of 65 - 2 + 5square root of 26}{-11square root of 4}
d A LaTex expression showing \frac{square root of 10 + 3square root of 65 - 2 + 2square root of 26}{4}
e A LaTex expression showing \frac{square root of 10 + square root of 65 - 2 - square root of 26}{-11}
7
Divide the radical expressions and simplify the answer
A LaTex expression showing \frac{square root of 2 + square root of 11}{square root of 3 - square root of 7}
a A LaTex expression showing square root of 6 + 4square root of 14 + square root of 33 + square root of 77
b A LaTex expression showing \frac{square root of 6 + square root of 14 - square root of 33 + square root of 77}{4}
c A LaTex expression showing \frac{square root of 6 + square root of 14 - 1 + square root of 77}{-4}
d A LaTex expression showing \frac{square root of 6 + square root of 14 + square root of 33 + square root of 77}{-4}
e A LaTex expression showing 1 + square root of 14 + square root of 33 + square root of 77