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

This math topic focuses on simplifying square roots by factoring and extracting perfect squares, as well as identifying the radical remaining if the factorization includes non-square numbers. It emphasizes practicing on various square root simplifications, further developing skills in identifying factors, extracting square numbers, and manipulating expressions under the radical sign for simplification. Each problem presents a radical expression, requesting its simplification, and then provides multiple choice answers for students to select the correct simplified form. This is part of a broader introduction to simplifying radicals.

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

3â‹…3â‹…7\sqrt{3\cdot 3\cdot 7}

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 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 3 times 5 times 5
a A LaTex expression showing 7square root of 2
b A LaTex expression showing 2
c A LaTex expression showing 5square root of 5
d A LaTex expression showing 3
e A LaTex expression showing 8
f A LaTex expression showing 5square root of 3
2
Simplify the radical
A LaTex expression showing square root of 3 times 3 times 5
a A LaTex expression showing square root of 8
b A LaTex expression showing 2
c A LaTex expression showing square root of 7
d A LaTex expression showing 3square root of 5
e A LaTex expression showing 2square root of 8
f A LaTex expression showing square root of 5
3
Simplify the radical
A LaTex expression showing square root of 3 times 3 times 7
a A LaTex expression showing 2square root of 5
b A LaTex expression showing 5square root of 3
c A LaTex expression showing 6square root of 5
d A LaTex expression showing square root of 5
e A LaTex expression showing 2square root of 9
f A LaTex expression showing 3square root of 7
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 5
a A LaTex expression showing 2square root of 5
b A LaTex expression showing 3square root of 6
c A LaTex expression showing 5square root of 6
d A LaTex expression showing 2square root of 4
e A LaTex expression showing 2square root of 2
f A LaTex expression showing 1
5
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 11
a A LaTex expression showing square root of 8
b A LaTex expression showing square root of 9
c A LaTex expression showing 4square root of 7
d A LaTex expression showing 5square root of 12
e A LaTex expression showing 2square root of 11
f A LaTex expression showing 3square root of 11
6
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 11
a A LaTex expression showing 2square root of 12
b A LaTex expression showing 4square root of 8
c A LaTex expression showing 4square root of 7
d A LaTex expression showing 8square root of 11
e A LaTex expression showing 5square root of 11
f A LaTex expression showing 5square root of 14
7
Simplify the radical
A LaTex expression showing square root of 3 times 3 times 11
a A LaTex expression showing square root of 12
b A LaTex expression showing 6square root of 9
c A LaTex expression showing square root of 7
d A LaTex expression showing 3square root of 11
e A LaTex expression showing square root of 9
f A LaTex expression showing 6square root of 10