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Radicals - Square - Simplifying from Factors, Values only, Radical Remaining (Level 1)

This math topic focuses on simplifying square roots involving multiplication of factors, where some radical components remain after simplification. It's a foundational exercise in understanding and manipulating square roots, essential for higher-level algebra and calculus. The problems require recognizing factor pairs within the radical that simplify to whole numbers, and then simplifying the radical as much as possible.

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

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Square - Simplifying from Factors, Values only, Radical Remaining

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


Simplify the radical

2â‹…2â‹…3\sqrt{2\cdot 2\cdot 3}

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

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Math worksheet on 'Radicals - Square - Simplifying from Factors, Values only, Radical Remaining (Level 1)'. 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 3 times 3 times 3
a A LaTex expression showing 5square root of 6
b A LaTex expression showing 6square root of 3
c A LaTex expression showing square root of 4
d A LaTex expression showing 3square root of 3
e A LaTex expression showing 1
f A LaTex expression showing square root of 5
2
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 7
a A LaTex expression showing 4square root of 7
b A LaTex expression showing 3square root of 8
c A LaTex expression showing 5square root of 6
d A LaTex expression showing 2square root of 7
e A LaTex expression showing square root of 5
f A LaTex expression showing 2square root of 9
3
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 2
a A LaTex expression showing 4
b A LaTex expression showing 1
c A LaTex expression showing 2
d A LaTex expression showing 4square root of 2
e A LaTex expression showing 3
f A LaTex expression showing square root of 4
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 11
a A LaTex expression showing 4square root of 9
b A LaTex expression showing 5square root of 14
c A LaTex expression showing 4square root of 11
d A LaTex expression showing square root of 12
e A LaTex expression showing square root of 14
f A LaTex expression showing square root of 13
5
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 3
a A LaTex expression showing square root of 5
b A LaTex expression showing square root of 6
c A LaTex expression showing 5square root of 4
d A LaTex expression showing 2square root of 3
e A LaTex expression showing square root of 2
f A LaTex expression showing 4
6
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2
a A LaTex expression showing 2square root of 2
b A LaTex expression showing square root of 2
c A LaTex expression showing square root of 3
d A LaTex expression showing 2
e A LaTex expression showing 3square root of 5
f A LaTex expression showing 1