Square - Simplify From Squared Factors, Values and Variables, Nothing Remaining (Level 2)

This math topic focuses on simplifying radicals involving squared factors, values, and variables, where nothing remains under the radical sign. Students practice simplifying square roots that contain squared numeric values and variables. Each question provides multiple choice answers, asking the participants to choose the simplified form of given radical expressions. This topic is part of a larger unit introducing the basics of simplifying radicals.

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 and Variables, Nothing Remaining Worksheet

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Radicals - Square - Simplify From Squared Factors, Values and Variables, Nothing Remaining
1
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times r to the power of 2 times r to the power of 2
a A LaTex expression showing {r} to the power of 3
b A LaTex expression showing 5{r} to the power of 2
c A LaTex expression showing 5{r} to the power of 4
d A LaTex expression showing 3{r} to the power of 2
e A LaTex expression showing {r} to the power of 2
2
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times z to the power of 2 times z to the power of 2
a A LaTex expression showing 4{z} to the power of 3
b A LaTex expression showing {z} to the power of 3 square root of 2
c A LaTex expression showing 2{z} to the power of 2
d A LaTex expression showing {z} to the power of 2
e A LaTex expression showing zsquare root of 4
3
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times b to the power of 2 times b to the power of 2
a A LaTex expression showing 2{b} to the power of 2
b A LaTex expression showing 3{b} to the power of 4 square root of 3
c A LaTex expression showing 2{b} to the power of 4
d A LaTex expression showing 3{b} to the power of 4
e A LaTex expression showing b
4
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times n to the power of 2
a A LaTex expression showing 8n
b A LaTex expression showing 3{n} to the power of 3
c A LaTex expression showing 5n
d A LaTex expression showing 8nsquare root of 4
e A LaTex expression showing 2nsquare root of 3
5
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times p to the power of 2 times p to the power of 2
a A LaTex expression showing p
b A LaTex expression showing 5{p} to the power of 4 square root of 4
c A LaTex expression showing 2p
d A LaTex expression showing 5{p} to the power of 2
e A LaTex expression showing 4{p} to the power of 2
6
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times b to the power of 2 times b to the power of 2
a A LaTex expression showing {b} to the power of 3 square root of 3
b A LaTex expression showing 3{b} to the power of 4 square root of 3
c A LaTex expression showing 3{b} to the power of 2
d A LaTex expression showing b
7
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times y to the power of 2 times y to the power of 2
a A LaTex expression showing 4{y} to the power of 2
b A LaTex expression showing 6y
c A LaTex expression showing 5y
d A LaTex expression showing y
e A LaTex expression showing 6{y} to the power of 3
8
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times p to the power of 2
a A LaTex expression showing 8{p} to the power of 3 square root of 3
b A LaTex expression showing 4{p} to the power of 3
c A LaTex expression showing 5p
d A LaTex expression showing 7psquare root of 4