Adding and Subtracting - Simplification (Values Only) (Level 5)

This math topic focuses on simplifying radical expressions for subsequent addition and subtraction. It involves various levels and questions that require students to simplify expressions involving square roots, cube roots, and other nth roots before combining them, ensuring that the expressions are in their simplest form to facilitate accurate calculation. This skill is fundamental to higher-level algebra and helps in solving complex equations efficiently by reducing the complexity of radicals.

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

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

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Math worksheet on 'Radicals - Adding and Subtracting - Simplification (Values Only) (Level 5)'. 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 81 + 3-th root of 24 - 3-th root of 81
a A LaTex expression showing 33-th root of 3 + 53-th root of 2 - 33-th root of 3
b A LaTex expression showing 43-th root of 5 + 4 - 33-th root of 3
c A LaTex expression showing 33-th root of 3 + 23-th root of 3 - 33-th root of 3
d A LaTex expression showing 5 + 23-th root of 3 - 1
e A LaTex expression showing 33-th root of 3 + 43-th root of 2 - 1
2
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 56 + 3-th root of 56 + 3-th root of 448
a A LaTex expression showing 23-th root of 7 + 23-th root of 3 + 43-th root of 7
b A LaTex expression showing 23-th root of 7 + 3-th root of 4 + 43-th root of 7
c A LaTex expression showing 23-th root of 7 + 23-th root of 7 + 43-th root of 7
d A LaTex expression showing 53-th root of 8 + 3-th root of 9 + 43-th root of 7
e A LaTex expression showing 33-th root of 3 + 23-th root of 7 + 43-th root of 7
3
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 297 + 3-th root of 88 + 3-th root of 88
a A LaTex expression showing 23-th root of 13 + 23-th root of 11 + 23-th root of 11
b A LaTex expression showing 33-th root of 11 + 23-th root of 11 + 23-th root of 11
c A LaTex expression showing 33-th root of 11 + 23-th root of 11 + 23-th root of 13
d A LaTex expression showing 33-th root of 11 + 3-th root of 12 + 23-th root of 11
4
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 128 + 3-th root of 16 - 3-th root of 54
a A LaTex expression showing 43-th root of 2 + 1 - 33-th root of 2
b A LaTex expression showing 6 + 23-th root of 2 - 33-th root of 2
c A LaTex expression showing 2 + 3-th root of 4 - 33-th root of 2
d A LaTex expression showing 43-th root of 2 + 23-th root of 2 - 33-th root of 2
e A LaTex expression showing 33-th root of 2 + 53-th root of 3 - 33-th root of 2
5
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 16 - 3-th root of 54 + 3-th root of 16
a A LaTex expression showing 23-th root of 2 - 1 + 23-th root of 2
b A LaTex expression showing 23-th root of 2 - 33-th root of 2 + 3-th root of 5
c A LaTex expression showing 3-th root of 5 - 43-th root of 3 + 23-th root of 2
d A LaTex expression showing 23-th root of 2 - 33-th root of 2 + 23-th root of 2
6
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 448 - 3-th root of 56 - 3-th root of 189
a A LaTex expression showing 43-th root of 7 - 23-th root of 7 - 33-th root of 7
b A LaTex expression showing 43-th root of 7 - 33-th root of 10 - 33-th root of 7
c A LaTex expression showing 33-th root of 10 - 23-th root of 7 - 33-th root of 7
7
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 50 - square root of 8 - square root of 32
a A LaTex expression showing 8 - 1 - 4square root of 2
b A LaTex expression showing 3square root of 2 - 2square root of 2 - 4square root of 2
c A LaTex expression showing 5square root of 2 - 2square root of 2 - 4square root of 2
d A LaTex expression showing 4square root of 4 - 2square root of 2 - 4square root of 2