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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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 square root of 12 - square root of 75 - square root of 48
a A LaTex expression showing 2square root of 3 - 4 - square root of 6
b A LaTex expression showing 1 - 5square root of 3 - 4square root of 3
c A LaTex expression showing 2square root of 3 - 5square root of 3 - 4square root of 3
d A LaTex expression showing 2square root of 3 - 4 - 4square root of 3
2
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 112 + square root of 112 - square root of 63
a A LaTex expression showing 3square root of 5 + 5square root of 6 - 3square root of 7
b A LaTex expression showing 4square root of 7 + 5square root of 10 - 3square root of 7
c A LaTex expression showing square root of 7 + 4square root of 7 - 3square root of 7
d A LaTex expression showing 4square root of 7 + 3square root of 7 - 3square root of 7
e A LaTex expression showing 4square root of 7 + 4square root of 7 - 3square root of 7
3
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 56 + 3-th root of 448 + 3-th root of 189
a A LaTex expression showing 23-th root of 7 + 43-th root of 7 + 23-th root of 7
b A LaTex expression showing 23-th root of 7 + 43-th root of 7 + 33-th root of 7
c A LaTex expression showing 23-th root of 7 + 3-th root of 5 + 33-th root of 7
d A LaTex expression showing 3-th root of 9 + 43-th root of 7 + 23-th root of 7
e A LaTex expression showing 3-th root of 10 + 33-th root of 8 + 63-th root of 6
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 16
a A LaTex expression showing 43-th root of 2 - 23-th root of 2 + 23-th root of 2
b A LaTex expression showing 43-th root of 2 - 33-th root of 5 + 23-th root of 2
c A LaTex expression showing 43-th root of 2 - 23-th root of 2 + 3-th root of 4
d A LaTex expression showing 4 - 4 + 43-th root of 4
e A LaTex expression showing 43-th root of 2 - 53-th root of 3 + 23-th root of 2
5
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 320 + 3-th root of 40 - 3-th root of 135
a A LaTex expression showing 43-th root of 5 + 3-th root of 2 - 33-th root of 5
b A LaTex expression showing 53-th root of 8 + 23-th root of 5 - 63-th root of 2
c A LaTex expression showing 6 + 23-th root of 5 - 33-th root of 5
d A LaTex expression showing 43-th root of 5 + 23-th root of 5 - 33-th root of 5
6
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing 3-th root of 24 + 3-th root of 81 + 3-th root of 24
a A LaTex expression showing 23-th root of 3 + 33-th root of 3 + 23-th root of 3
b A LaTex expression showing 23-th root of 3 + 33-th root of 3 + 3-th root of 2
c A LaTex expression showing 23-th root of 3 + 1 + 23-th root of 3
d A LaTex expression showing 23-th root of 3 + 33-th root of 3 + 33-th root of 3
e A LaTex expression showing 23-th root of 3 + 3 + 23-th root of 3
7
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 12 + square root of 48 - square root of 12
a A LaTex expression showing 2 + 3 - 4
b A LaTex expression showing 2square root of 3 + 4square root of 3 - 2square root of 3
c A LaTex expression showing square root of 2 + 4square root of 3 - 2square root of 3
d A LaTex expression showing 4square root of 5 + 2 - 2square root of 3