Radicals - Addition Under Cubed Radical Plus Integer to Radical (Level 2)

This math topic covers the simplification of radical expressions involving the addition of cubed roots and integers. Students practice simplifying expressions by combining integer values with the results of cube roots of various sums or differences. The task includes discerning which simplified form matches the given expression among multiple choices, which may also involve different types of roots or additional integers. This aims to enhance students' ability to manipulate and simplify complex radical expressions.

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

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Addition Under Cubed Radical Plus Integer to Radical

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


Simplify the radical.

2+49932 + \sqrt[3]{49 - 9}

Radicals - Addition Under Cubed Radical Plus Integer to Radical Worksheet

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Math worksheet on 'Radicals - Addition Under Cubed Radical Plus 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 4 + 3-th root of 5 + 19
a A LaTex expression showing 4 + 23-th root of 3
b A LaTex expression showing 4 + 3-th root of 6
c A LaTex expression showing 4 + 3-th root of 2
d A LaTex expression showing 4 + 33-th root of 3
e A LaTex expression showing 4 + 3-th root of 3
f A LaTex expression showing 4 + 4
2
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 165 - 37
a A LaTex expression showing 2 + 6
b A LaTex expression showing 2 + 4
c A LaTex expression showing 2 + 3-th root of 2
d A LaTex expression showing 2 + 3-th root of 5
e A LaTex expression showing 2 + 43-th root of 2
f A LaTex expression showing 2 + 3-th root of 4
3
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 28 - 4
a A LaTex expression showing 3 + 23-th root of 3
b A LaTex expression showing 3 + 53-th root of 5
c A LaTex expression showing 3 + 3-th root of 3
d A LaTex expression showing 3 + 43-th root of 4
e A LaTex expression showing 3 + 4
f A LaTex expression showing 3 + 3
4
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 68 - 14
a A LaTex expression showing 2 + 33-th root of 4
b A LaTex expression showing 2 + 33-th root of 2
c A LaTex expression showing 2 + 3-th root of 5
d A LaTex expression showing 2 + 4
e A LaTex expression showing 2 + 1
f A LaTex expression showing 2 + 3
5
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 495 - 47
a A LaTex expression showing 3 + 3-th root of 5
b A LaTex expression showing 3 + 73-th root of 10
c A LaTex expression showing 3 + 43-th root of 7
d A LaTex expression showing 3 + 43-th root of 10
e A LaTex expression showing 3 + 73-th root of 7
f A LaTex expression showing 3 + 3-th root of 6
6
Simplify the radical.
A LaTex expression showing 3 + 3-th root of 51 - 11
a A LaTex expression showing 3 + 23-th root of 5
b A LaTex expression showing 3 + 23-th root of 4
c A LaTex expression showing 3 + 23-th root of 3
d A LaTex expression showing 3 + 53-th root of 2
e A LaTex expression showing 3 + 43-th root of 5
f A LaTex expression showing 3 + 3-th root of 2
7
Simplify the radical.
A LaTex expression showing 2 + 3-th root of 789 - 141
a A LaTex expression showing 2 + 33-th root of 2
b A LaTex expression showing 2 + 83-th root of 6
c A LaTex expression showing 2 + 3
d A LaTex expression showing 2 + 63-th root of 3
e A LaTex expression showing 2 + 8
f A LaTex expression showing 2 + 2