Adding and Subtracting from Simplified (Values Only) (Level 4)

This math topic focuses on the manipulation of radicals specifically through addition and subtraction when the radicals are in simplified form. It is a part of a broader introductory unit on adding and subtracting radicals. The problems require students to combine or subtract various radical expressions, such as roots of different orders and values. Each question provides practice in handling expressions with square roots and nth roots, aiming to develop the student's skills in simplifying and combining these types of expressions. The difficulty level is described as Level 4, suggesting that these are intermediate-level exercises in the subject of radicals.

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

more
View

Radicals - Adding and Subtracting from Simplified (Values Only) Worksheet

Mobius Math Academy logo
Radicals - Adding and Subtracting from Simplified (Values Only)
1
Add or subtract the radical expressions
A LaTex expression showing 2square root of 3 - 5square root of 3 - 4square root of 3
a A LaTex expression showing -3 - 4square root of 3
b A LaTex expression showing 4square root of 3 - 4square root of 3
c A LaTex expression showing -3square root of 3 - 4square root of 3
d A LaTex expression showing square root of 2 - 4square root of 3 - 2square root of 6
2
Add or subtract the radical expressions
A LaTex expression showing 43-th root of 7 + 23-th root of 7 - 33-th root of 7
a A LaTex expression showing 63-th root of 7 + 33-th root of 7
b A LaTex expression showing 3-th root of 8 + 3-th root of 4 - 53-th root of 3
c A LaTex expression showing 3-th root of 7 + 33-th root of 7
d A LaTex expression showing 23-th root of 7 + 33-th root of 7
3
Add or subtract the radical expressions
A LaTex expression showing 43-th root of 5 + 43-th root of 5 + 23-th root of 5
a A LaTex expression showing 83-th root of 5 + 23-th root of 5
b A LaTex expression showing 33-th root of 5 + 23-th root of 5
c A LaTex expression showing 3-th root of 5 + 23-th root of 5
d A LaTex expression showing 8 + 23-th root of 5
e A LaTex expression showing 23-th root of 5 + 23-th root of 5
4
Add or subtract the radical expressions
A LaTex expression showing 4square root of 7 - 4square root of 7 - 5square root of 7
a A LaTex expression showing 2square root of 7 - 5square root of 7
b A LaTex expression showing square root of 10 - 5square root of 8 - 7square root of 5
c A LaTex expression showing square root of 7 - 5square root of 7
d A LaTex expression showing 5square root of 7
5
Add or subtract the radical expressions
A LaTex expression showing 43-th root of 7 - 23-th root of 7 - 43-th root of 7
a A LaTex expression showing 2 - 43-th root of 7
b A LaTex expression showing 23-th root of 7 - 43-th root of 7
c A LaTex expression showing 3-th root of 9 - 3-th root of 3
d A LaTex expression showing 3-th root of 7 - 43-th root of 7
e A LaTex expression showing 43-th root of 7 - 43-th root of 7
6
Add or subtract the radical expressions
A LaTex expression showing 2square root of 7 - 4square root of 7 - 5square root of 7
a A LaTex expression showing -2square root of 4 - 5square root of 7
b A LaTex expression showing -2 - 5square root of 7
c A LaTex expression showing square root of 8 - 6square root of 7 - square root of 4
d A LaTex expression showing 2square root of 7 - square root of 10 - 6square root of 9
e A LaTex expression showing -2square root of 7 - 5square root of 7
7
Add or subtract the radical expressions
A LaTex expression showing 4square root of 11 - 3square root of 11 + 2square root of 11
a A LaTex expression showing 2square root of 11 - 2square root of 11
b A LaTex expression showing square root of 13
c A LaTex expression showing 1 - 2square root of 11
d A LaTex expression showing square root of 11 - 2square root of 11
8
Add or subtract the radical expressions
A LaTex expression showing 3square root of 3 - 3square root of 3 + 2square root of 3
a A LaTex expression showing 3square root of 3 - 2square root of 3
b A LaTex expression showing square root of 3 - 2square root of 3
c A LaTex expression showing 2square root of 3