Square - Simplifying, Values only, Radical Remaining (Level 3)

This math topic focuses on the simplification of square roots (radicals) and includes problems where students must simplify radicals, leaving the answers in simplest radical form. The problems range from basic to more advanced levels, challenging students to identify and extract square factors that leave no radicals or the simplest possible radical in the result. The primary goal is to develop proficiency in the simplification process while reinforcing concepts of square roots and their properties within different numerical contexts. Each question offers multiple choices, allowing students to test their comprehension and skills in radical simplification.

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

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Radicals - Square - Simplifying, Values only, Radical Remaining Worksheet

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Math worksheet on 'Radicals - Square - Simplifying, Values only, Radical Remaining (Level 3)'. 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 square root of 99
a A LaTex expression showing 5square root of 12
b A LaTex expression showing 6square root of 8
c A LaTex expression showing 3square root of 8
d A LaTex expression showing 5square root of 10
e A LaTex expression showing 3square root of 11
2
Simplify the radical
A LaTex expression showing square root of 48
a A LaTex expression showing square root of 3
b A LaTex expression showing 1
c A LaTex expression showing 6square root of 5
d A LaTex expression showing 4square root of 3
e A LaTex expression showing 7
3
Simplify the radical
A LaTex expression showing square root of 27
a A LaTex expression showing 3square root of 3
b A LaTex expression showing 3square root of 6
c A LaTex expression showing 4
d A LaTex expression showing 2
4
Simplify the radical
A LaTex expression showing square root of 80
a A LaTex expression showing 2square root of 6
b A LaTex expression showing 3square root of 2
c A LaTex expression showing 4square root of 5
d A LaTex expression showing 2
e A LaTex expression showing 2square root of 3
5
Simplify the radical
A LaTex expression showing square root of 112
a A LaTex expression showing 6square root of 10
b A LaTex expression showing 5square root of 4
c A LaTex expression showing square root of 9
d A LaTex expression showing 6square root of 4
e A LaTex expression showing 4square root of 7
6
Simplify the radical
A LaTex expression showing square root of 45
a A LaTex expression showing 5square root of 4
b A LaTex expression showing 5square root of 7
c A LaTex expression showing 2square root of 6
d A LaTex expression showing 3square root of 5
e A LaTex expression showing 3square root of 2
7
Simplify the radical
A LaTex expression showing square root of 275
a A LaTex expression showing 6square root of 14
b A LaTex expression showing 5square root of 11
c A LaTex expression showing 2square root of 12
d A LaTex expression showing square root of 11
e A LaTex expression showing 5square root of 7
Radicals - Square - Simplifying, Values only, Radical Remaining (Level 3) - Mobius Math