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Radicals - Adding and Subtracting - Simplification (Values Only) (Level 4)

These problems focus on simplifying radical expressions as preparation for adding and subtracting them. The exercises involve handling various roots such as square roots and cube roots of different numbers. Each question is structured with an expression needing simplification and provides multiple choices as possible answers. This topic builds foundational skills necessary for more complex algebraic manipulations involving radicals.

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

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Adding and Subtracting - Simplification (Values Only)

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

Simplify the radical expressions to prepare for adding or subtracting

4483−563+563\sqrt[3]{448} - \sqrt[3]{56} + \sqrt[3]{56}

Radicals - Adding and Subtracting - Simplification (Values Only) Worksheet

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Math worksheet on 'Radicals - Adding and Subtracting - Simplification (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
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 88 + 3-th root of 297 - 3-th root of 297
a A LaTex expression showing 23-th root of 11 + 33-th root of 11 - 53-th root of 14
b A LaTex expression showing 23-th root of 11 + 33-th root of 11 - 33-th root of 11
c A LaTex expression showing 3-th root of 9 + 33-th root of 11 - 33-th root of 11
d A LaTex expression showing 23-th root of 11 + 43-th root of 13 - 53-th root of 11
e A LaTex expression showing 3-th root of 9 + 33-th root of 11 - 33-th root of 12
f A LaTex expression showing 23-th root of 11 + 3-th root of 14 - 63-th root of 11
2
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 192 + 3-th root of 24 - 3-th root of 24
a A LaTex expression showing 63-th root of 5 + 23-th root of 3 - 2
b A LaTex expression showing 73-th root of 6 + 23-th root of 3 - 53-th root of 2
c A LaTex expression showing 43-th root of 3 + 43-th root of 2 - 23-th root of 3
d A LaTex expression showing 43-th root of 3 + 2 - 23-th root of 3
e A LaTex expression showing 43-th root of 3 + 23-th root of 3 - 23-th root of 3
f A LaTex expression showing 43-th root of 3 + 23-th root of 3 - 23-th root of 6
3
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 75 - square root of 75 + square root of 48
a A LaTex expression showing 5square root of 3 - 5 + 3square root of 6
b A LaTex expression showing 5square root of 3 - 5square root of 3 + 1
c A LaTex expression showing 5square root of 3 - 3 + 4square root of 3
d A LaTex expression showing 7square root of 5 - 2square root of 6 + 5
e A LaTex expression showing 5square root of 3 - 5square root of 3 + 4square root of 3
f A LaTex expression showing 5square root of 3 - 5square root of 3 + 6square root of 5
4
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 81 + 3-th root of 192 - 3-th root of 81
a A LaTex expression showing 23-th root of 4 + 23-th root of 5 - 63-th root of 5
b A LaTex expression showing 33-th root of 3 + 53-th root of 3 - 33-th root of 3
c A LaTex expression showing 33-th root of 3 + 43-th root of 3 - 33-th root of 3
d A LaTex expression showing 1 + 43-th root of 3 - 33-th root of 3
e A LaTex expression showing 33-th root of 3 + 43-th root of 3 - 3-th root of 6
f A LaTex expression showing 3-th root of 4 + 63-th root of 5 - 33-th root of 3
5
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 75 - square root of 12 + square root of 27
a A LaTex expression showing 6square root of 2 - 2square root of 3 + 3square root of 3
b A LaTex expression showing 5square root of 3 - 2square root of 3 + 3square root of 3
c A LaTex expression showing 5square root of 3 - square root of 5 + 2
d A LaTex expression showing 3square root of 5 - 2square root of 3 + 3square root of 3
e A LaTex expression showing 5square root of 3 - 2square root of 3 + square root of 4
f A LaTex expression showing 3square root of 2 - 2square root of 3 + 3square root of 3
6
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 192 + 3-th root of 81 - 3-th root of 81
a A LaTex expression showing 1 + 33-th root of 3 - 33-th root of 3
b A LaTex expression showing 43-th root of 3 + 33-th root of 3 - 53-th root of 4
c A LaTex expression showing 3-th root of 2 + 33-th root of 3 - 33-th root of 3
d A LaTex expression showing 43-th root of 3 + 23-th root of 3 - 33-th root of 3
e A LaTex expression showing 43-th root of 3 + 33-th root of 3 - 33-th root of 3
f A LaTex expression showing 43-th root of 3 + 33-th root of 3 - 3-th root of 3
7
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 44 - square root of 275 + square root of 176
a A LaTex expression showing square root of 13 - square root of 10 + 4square root of 11
b A LaTex expression showing 2square root of 11 - 8square root of 12 + 4square root of 11
c A LaTex expression showing 4square root of 12 - 7square root of 7 + 4square root of 11
d A LaTex expression showing 2square root of 11 - 7square root of 7 + 4square root of 9
e A LaTex expression showing 5square root of 10 - 4square root of 7 + 4square root of 11
f A LaTex expression showing 2square root of 11 - 5square root of 11 + 4square root of 11