Square - Simplify From Squared Factors, Values only, Radical Remaining (Level 2)

This math topic focuses on simplifying square roots involving squared factors, with an emphasis on factoring out perfect squares while leaving a radical remaining. It aims to develop skills in finding the simplest radical form by identifying and operating on square factors in the radicands (the numbers under the radical sign). Each problem provides multiple answer choices, enhancing the learner’s ability to evaluate and confirm the correctness of simplified radicals. The topic serves as an introductory level exercise to simplifying radicals, preparing learners for more complex operations with radicals in future topics.

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

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Radicals - Square - Simplify From Squared Factors, Values only, Radical Remaining Worksheet

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Radicals - Square - Simplify From Squared Factors, Values only, Radical Remaining
1
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times 3
a A LaTex expression showing 3
b A LaTex expression showing 5square root of 3
c A LaTex expression showing 4square root of 5
d A LaTex expression showing 7square root of 5
e A LaTex expression showing 4square root of 3
2
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 11
a A LaTex expression showing square root of 13
b A LaTex expression showing 3square root of 11
c A LaTex expression showing 3square root of 10
d A LaTex expression showing 3square root of 9
e A LaTex expression showing 4square root of 7
3
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times 5
a A LaTex expression showing 2square root of 5
b A LaTex expression showing 4square root of 5
c A LaTex expression showing square root of 5
d A LaTex expression showing 5square root of 2
e A LaTex expression showing 7square root of 5
4
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2
a A LaTex expression showing 4
b A LaTex expression showing 1
c A LaTex expression showing 4square root of 3
d A LaTex expression showing 2square root of 2
5
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 11
a A LaTex expression showing 2square root of 11
b A LaTex expression showing square root of 9
c A LaTex expression showing 4square root of 9
d A LaTex expression showing 4square root of 11
e A LaTex expression showing square root of 8
6
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 11
a A LaTex expression showing 4square root of 8
b A LaTex expression showing 4square root of 7
c A LaTex expression showing square root of 14
d A LaTex expression showing 5square root of 14
e A LaTex expression showing 5square root of 11
7
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 5
a A LaTex expression showing 3square root of 7
b A LaTex expression showing 4square root of 7
c A LaTex expression showing 3square root of 5
d A LaTex expression showing 4square root of 2
e A LaTex expression showing 2square root of 5