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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.

318+1073\sqrt{18 + 107}

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 Intro' Learn online: app.mobius.academy/math/units/radicals_simplifying_intro/
1
Simplify the radical.
A LaTex expression showing 5square root of 385 - 42
a A LaTex expression showing 35square root of 3
b A LaTex expression showing 33square root of 5
c A LaTex expression showing 33square root of 10
d A LaTex expression showing 35square root of 7
e A LaTex expression showing 33square root of 3
f A LaTex expression showing 36square root of 9
2
Simplify the radical.
A LaTex expression showing 2square root of 565 - 117
a A LaTex expression showing 16square root of 7
b A LaTex expression showing 18square root of 5
c A LaTex expression showing 18square root of 7
d A LaTex expression showing 18square root of 6
e A LaTex expression showing 18square root of 9
f A LaTex expression showing 19square root of 3
3
Simplify the radical.
A LaTex expression showing 5square root of 38 + 34
a A LaTex expression showing 26
b A LaTex expression showing 29
c A LaTex expression showing 27
d A LaTex expression showing 30square root of 2
e A LaTex expression showing 29square root of 5
f A LaTex expression showing 30
4
Simplify the radical.
A LaTex expression showing 2square root of 256 - 56
a A LaTex expression showing 20
b A LaTex expression showing 22
c A LaTex expression showing 19square root of 5
d A LaTex expression showing 20square root of 2
e A LaTex expression showing 19
f A LaTex expression showing 16
5
Simplify the radical.
A LaTex expression showing 3square root of 354 - 79
a A LaTex expression showing 16square root of 12
b A LaTex expression showing 11square root of 13
c A LaTex expression showing 15square root of 11
d A LaTex expression showing 11square root of 12
e A LaTex expression showing 14square root of 11
f A LaTex expression showing 16square root of 10
6
Simplify the radical.
A LaTex expression showing 2square root of 35 - 3
a A LaTex expression showing 8square root of 2
b A LaTex expression showing 7
c A LaTex expression showing 8
d A LaTex expression showing 6square root of 2
e A LaTex expression showing 10square root of 2
f A LaTex expression showing 11
7
Simplify the radical.
A LaTex expression showing 3square root of 6 + 39
a A LaTex expression showing 9square root of 5
b A LaTex expression showing 10square root of 5
c A LaTex expression showing 11square root of 2
d A LaTex expression showing 9square root of 7
e A LaTex expression showing 6square root of 6
f A LaTex expression showing 5