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Radicals - Addition Under Cubed Radical Times Integer To Radical (Level 2)

This math topic focuses on simplifying radicals, specifically involving operations under cubed roots multiplied by integers leading to radicals. Problems require simplifying expressions under various root powers through addition or subtraction, then identifying equivalent radical forms from multiple options. Each question involves arithmetic operations followed by simplifying the expression under high-order roots, such as the 33rd, 53rd, or 103rd roots. This set of problems is part of broader practice aimed at mastering radical simplification.

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

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Addition Under Cubed Radical Times Integer To Radical

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

Simplify the radical.

3138+123733\sqrt[3]{138 + 1237}

Radicals - Addition Under Cubed Radical Times Integer To Radical Worksheet

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Math worksheet on 'Radicals - Addition Under Cubed Radical Times Integer To Radical (Level 2)'. Part of a broader unit on 'Radicals - Simplifying Practice' Learn online: app.mobius.academy/math/units/radicals_simplifying_practice/
1
Simplify the radical.
A LaTex expression showing 53-th root of 480 + 224
a A LaTex expression showing 233-th root of 10
b A LaTex expression showing 173-th root of 7
c A LaTex expression showing 233-th root of 12
d A LaTex expression showing 223-th root of 7
e A LaTex expression showing 183-th root of 13
f A LaTex expression showing 203-th root of 11
2
Simplify the radical.
A LaTex expression showing 33-th root of 31 + 9
a A LaTex expression showing 83-th root of 2
b A LaTex expression showing 33-th root of 6
c A LaTex expression showing 53-th root of 6
d A LaTex expression showing 93-th root of 2
e A LaTex expression showing 63-th root of 5
f A LaTex expression showing 53-th root of 7
3
Simplify the radical.
A LaTex expression showing 33-th root of 300 + 20
a A LaTex expression showing 12
b A LaTex expression showing 123-th root of 6
c A LaTex expression showing 123-th root of 4
d A LaTex expression showing 123-th root of 5
e A LaTex expression showing 123-th root of 7
f A LaTex expression showing 9
4
Simplify the radical.
A LaTex expression showing 43-th root of 1140 - 60
a A LaTex expression showing 203-th root of 3
b A LaTex expression showing 263-th root of 4
c A LaTex expression showing 243-th root of 7
d A LaTex expression showing 213-th root of 8
e A LaTex expression showing 273-th root of 2
f A LaTex expression showing 243-th root of 5
5
Simplify the radical.
A LaTex expression showing 43-th root of 590 - 142
a A LaTex expression showing 163-th root of 7
b A LaTex expression showing 133-th root of 5
c A LaTex expression showing 173-th root of 4
d A LaTex expression showing 173-th root of 10
e A LaTex expression showing 123-th root of 3
f A LaTex expression showing 133-th root of 3
6
Simplify the radical.
A LaTex expression showing 33-th root of 52 + 29
a A LaTex expression showing 103-th root of 6
b A LaTex expression showing 6
c A LaTex expression showing 103-th root of 5
d A LaTex expression showing 83-th root of 4
e A LaTex expression showing 53-th root of 2
f A LaTex expression showing 93-th root of 3
7
Simplify the radical.
A LaTex expression showing 33-th root of 2479 - 103
a A LaTex expression showing 203-th root of 12
b A LaTex expression showing 173-th root of 14
c A LaTex expression showing 183-th root of 11
d A LaTex expression showing 153-th root of 8
e A LaTex expression showing 143-th root of 9
f A LaTex expression showing 143-th root of 11