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

This math topic involves practicing the simplification of radicals, encompassing addition under a squared radical multiplied by an integer, then simplified to a single radical. The exercises cover different complexities involving numerical and radical components that are to be combined and simplified into their simplest forms. It provides multiple-choice questions where learners select the correct simplified expression from several options. This set of problems is designed to enhance understanding of manipulating and simplifying radicals.

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

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Addition Under Squared Radical Times Integer To Radical

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

Simplify the radical.

2204−122\sqrt{204 - 12}

Radicals - Addition Under Squared Radical Times Integer To Radical Worksheet

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Math worksheet on 'Radicals - Addition Under Squared 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 3square root of 18 + 107
a A LaTex expression showing 12square root of 8
b A LaTex expression showing 11square root of 3
c A LaTex expression showing 13square root of 8
d A LaTex expression showing 18square root of 3
e A LaTex expression showing 18square root of 8
f A LaTex expression showing 15square root of 5
2
Simplify the radical.
A LaTex expression showing 5square root of 33 - 6
a A LaTex expression showing 16
b A LaTex expression showing 11square root of 4
c A LaTex expression showing 12
d A LaTex expression showing 15square root of 3
e A LaTex expression showing 16square root of 2
f A LaTex expression showing 15square root of 4
3
Simplify the radical.
A LaTex expression showing 3square root of 28 - 1
a A LaTex expression showing 7square root of 4
b A LaTex expression showing 6square root of 3
c A LaTex expression showing 10
d A LaTex expression showing 9square root of 3
e A LaTex expression showing 10square root of 6
f A LaTex expression showing 11square root of 5
4
Simplify the radical.
A LaTex expression showing 4square root of 672 - 133
a A LaTex expression showing 26square root of 14
b A LaTex expression showing 24square root of 13
c A LaTex expression showing 28square root of 11
d A LaTex expression showing 30square root of 7
e A LaTex expression showing 30square root of 8
f A LaTex expression showing 31square root of 11
5
Simplify the radical.
A LaTex expression showing 4square root of 304 - 52
a A LaTex expression showing 21square root of 10
b A LaTex expression showing 21square root of 5
c A LaTex expression showing 22square root of 6
d A LaTex expression showing 24square root of 7
e A LaTex expression showing 20square root of 5
f A LaTex expression showing 21square root of 3
6
Simplify the radical.
A LaTex expression showing 2square root of 60 - 10
a A LaTex expression showing 8square root of 5
b A LaTex expression showing 6
c A LaTex expression showing 10square root of 2
d A LaTex expression showing 13
e A LaTex expression showing 11
f A LaTex expression showing 7
7
Simplify the radical.
A LaTex expression showing 2square root of 18 + 57
a A LaTex expression showing 13square root of 6
b A LaTex expression showing 10
c A LaTex expression showing 10square root of 3
d A LaTex expression showing 9square root of 6
e A LaTex expression showing 10square root of 5
f A LaTex expression showing 6
Radicals - Addition Under Squared Radical Times Integer To Radical (Level 2) - Mobius Math