Adding and Subtracting (Values Only) (Level 3)

This math topic focuses on the skills of simplifying and performing addition and subtraction on numerical radical expressions. It includes questions where students are expected to simplify each radical before finding the sum or difference. Each question provides a series of answer options involving radicals, integers, or combinations of both to be evaluated. This selection of problems is used to deepen understanding of radicals and their manipulations within arithmetic operations.

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

more
View

Radicals - Adding and Subtracting (Values Only) Worksheet

Mobius Math Academy logo
Math worksheet on 'Radicals - Adding and Subtracting (Values Only) (Level 3)'. Part of a broader unit on 'Radicals - Addition and Subtraction Intro' Learn online: app.mobius.academy/math/units/radicals_addition_and_subtraction_intro/
1
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 8 - square root of 32
a A LaTex expression showing square root of 2
b A LaTex expression showing 2square root of 2
c A LaTex expression showing -1
d A LaTex expression showing -2square root of 2
2
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 27 - square root of 75
a A LaTex expression showing square root of 3 - 2square root of 6
b A LaTex expression showing 1
c A LaTex expression showing square root of 3
d A LaTex expression showing -2square root of 3
e A LaTex expression showing -2square root of 4
3
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 18 + square root of 32
a A LaTex expression showing 7square root of 2
b A LaTex expression showing 5square root of 2
c A LaTex expression showing 5 + 5square root of 2
d A LaTex expression showing 8
4
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 80 - square root of 20
a A LaTex expression showing 2square root of 3
b A LaTex expression showing 2square root of 5
c A LaTex expression showing square root of 5
d A LaTex expression showing 4square root of 4 - 3square root of 6
5
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 275 + square root of 44
a A LaTex expression showing 7
b A LaTex expression showing square root of 11
c A LaTex expression showing 3square root of 11
d A LaTex expression showing 7square root of 11
6
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 99 - square root of 275
a A LaTex expression showing 3square root of 11 - square root of 12
b A LaTex expression showing 3square root of 11
c A LaTex expression showing -2square root of 11
d A LaTex expression showing 2square root of 14 - 7square root of 12
e A LaTex expression showing square root of 11
7
Simplify, then add or subtract the radical expressions
A LaTex expression showing square root of 18 + square root of 50
a A LaTex expression showing 8square root of 2
b A LaTex expression showing 5
c A LaTex expression showing 1 + 6square root of 5
d A LaTex expression showing square root of 2