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Radicals - 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.

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Adding and Subtracting from Simplified (Values Only)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Add or subtract the radical expressions

55−45+355\sqrt{5} - 4\sqrt{5} + 3\sqrt{5}

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

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Math worksheet on 'Radicals - Adding and Subtracting from Simplified (Values Only) (Level 4)'. Part of a broader unit on 'Radicals - Addition and Subtraction Intro' Learn online: app.mobius.academy/math/units/radicals_addition_and_subtraction_intro/
1
Add or subtract the radical expressions
A LaTex expression showing 5square root of 3 + 2square root of 3 + 2square root of 3
a A LaTex expression showing 5square root of 3 + 2square root of 3
b A LaTex expression showing 8square root of 6 + 4square root of 5 + 2
c A LaTex expression showing 7square root of 3 + 2square root of 3
d A LaTex expression showing 4square root of 6 + 2
e A LaTex expression showing square root of 3 + 2square root of 3
f A LaTex expression showing 5 + 2square root of 6
2
Add or subtract the radical expressions
A LaTex expression showing 23-th root of 7 - 43-th root of 7 - 33-th root of 7
a A LaTex expression showing 23-th root of 8 - 33-th root of 10 - 53-th root of 4
b A LaTex expression showing 43-th root of 3 - 23-th root of 6 - 3-th root of 10
c A LaTex expression showing 33-th root of 6 - 53-th root of 10 - 3-th root of 5
d A LaTex expression showing -23-th root of 7 - 33-th root of 7
e A LaTex expression showing 43-th root of 4 - 3-th root of 10 - 3-th root of 3
f A LaTex expression showing 3-th root of 7 - 33-th root of 7
3
Add or subtract the radical expressions
A LaTex expression showing 33-th root of 3 + 43-th root of 3 + 43-th root of 3
a A LaTex expression showing 7 + 53-th root of 3
b A LaTex expression showing 3-th root of 3 + 43-th root of 3
c A LaTex expression showing 53-th root of 4 + 113-th root of 2
d A LaTex expression showing 73-th root of 3 + 43-th root of 3
e A LaTex expression showing 23-th root of 3 + 43-th root of 3
f A LaTex expression showing 7 + 43-th root of 3
4
Add or subtract the radical expressions
A LaTex expression showing 5square root of 5 - 4square root of 5 + 3square root of 5
a A LaTex expression showing square root of 5 - 3square root of 5
b A LaTex expression showing 1 - 3square root of 5
c A LaTex expression showing 6 - square root of 4
d A LaTex expression showing 3square root of 5 - 4square root of 7 + 5square root of 6
e A LaTex expression showing 4 - 6square root of 7 + 5square root of 5
f A LaTex expression showing square root of 3 - 3square root of 5
5
Add or subtract the radical expressions
A LaTex expression showing 23-th root of 7 + 23-th root of 7 - 43-th root of 7
a A LaTex expression showing 43-th root of 7 + 43-th root of 7
b A LaTex expression showing 3-th root of 7 + 43-th root of 7
c A LaTex expression showing 43-th root of 2 + 43-th root of 7
d A LaTex expression showing 73-th root of 6 + 3-th root of 5
e A LaTex expression showing 43-th root of 4 + 43-th root of 7
f A LaTex expression showing 33-th root of 7 + 43-th root of 7
6
Add or subtract the radical expressions
A LaTex expression showing 3square root of 5 + 3square root of 5 + 4square root of 5
a A LaTex expression showing 4square root of 5 + 4square root of 5
b A LaTex expression showing 6 + 4square root of 5
c A LaTex expression showing 2square root of 5 + 4square root of 5
d A LaTex expression showing 3square root of 5 + 4square root of 5
e A LaTex expression showing square root of 5 + 4square root of 5
f A LaTex expression showing 6square root of 5 + 4square root of 5
7
Add or subtract the radical expressions
A LaTex expression showing 2square root of 5 + 4square root of 5 + 2square root of 5
a A LaTex expression showing 6square root of 5 + 2square root of 5
b A LaTex expression showing 5square root of 5 + 2square root of 5
c A LaTex expression showing square root of 8 + 1 + 2square root of 7
d A LaTex expression showing 2square root of 8 + 2square root of 6 + square root of 3
e A LaTex expression showing square root of 5 + 2square root of 5
f A LaTex expression showing 6 + 2square root of 5