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Radicals - Square - Simplifying from Factors, Values only, Radical Remaining (Level 2)

This math topic focuses on simplifying square radicals involving factors, while also determining which values remain under the radical after simplifying. It is part of an introductory unit on simplifying radicals. The problems require participants to extract perfect squares from the radicand and simplify the expressions to their simplest form. Multiple choice answers are provided, from which the correct simplified radical must be selected. This involves critical thinking and a solid understanding of the properties of square roots and factors.

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

5â‹…5â‹…5\sqrt{5\cdot 5\cdot 5}

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 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 square root of 2 times 3 times 3
a A LaTex expression showing 3square 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 4square root of 4
e A LaTex expression showing square root of 5
f A LaTex expression showing 1
2
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 7
a A LaTex expression showing 5square root of 10
b A LaTex expression showing 2square root of 5
c A LaTex expression showing 6square root of 10
d A LaTex expression showing 4square root of 7
e A LaTex expression showing 6square root of 4
f A LaTex expression showing 3square root of 10
3
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 5
a A LaTex expression showing 2square root of 6
b A LaTex expression showing 6square root of 3
c A LaTex expression showing square root of 8
d A LaTex expression showing 3square root of 4
e A LaTex expression showing 5square root of 5
f A LaTex expression showing 4square root of 4
4
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 7
a A LaTex expression showing 7square root of 10
b A LaTex expression showing 5square root of 5
c A LaTex expression showing 5square root of 4
d A LaTex expression showing 2square root of 6
e A LaTex expression showing square root of 10
f A LaTex expression showing 5square root of 7
5
Simplify the radical
A LaTex expression showing square root of 2 times 5 times 5
a A LaTex expression showing 8square root of 2
b A LaTex expression showing 5square root of 3
c A LaTex expression showing 3
d A LaTex expression showing 6square root of 3
e A LaTex expression showing 2square root of 4
f A LaTex expression showing 5square root of 2
6
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 5
a A LaTex expression showing 4square root of 7
b A LaTex expression showing 4square root of 5
c A LaTex expression showing square root of 3
d A LaTex expression showing 1
e A LaTex expression showing 2square root of 7
f A LaTex expression showing 3