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Radicals - 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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Square - Simplify From Squared Factors, Values and Variables, Nothing Remaining

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Simplify the radical

52â‹…m2â‹…m2â‹…\sqrt{5^2\cdot m^2\cdot m^2\cdot }

Radicals - Square - Simplify From Squared Factors, Values and Variables, Nothing Remaining Worksheet

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Math worksheet on 'Radicals - Square - Simplify From Squared Factors, Values and Variables, Nothing 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 to the power of 2 times z to the power of 2 times
a A LaTex expression showing 3z
b A LaTex expression showing 2{z} to the power of 2 square root of 3
c A LaTex expression showing z
d A LaTex expression showing zsquare root of 2
e A LaTex expression showing 4{z} to the power of 3 square root of 4
f A LaTex expression showing 2z
2
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times x to the power of 2 times
a A LaTex expression showing 5x
b A LaTex expression showing 3xsquare root of 2
c A LaTex expression showing 4{x} to the power of 3
d A LaTex expression showing 6x
e A LaTex expression showing 2{x} to the power of 3
f A LaTex expression showing 4x
3
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times r to the power of 2 times r to the power of 2 times
a A LaTex expression showing 5{r} to the power of 2
b A LaTex expression showing 2rsquare root of 3
c A LaTex expression showing 4{r} to the power of 3
d A LaTex expression showing 3{r} to the power of 2
e A LaTex expression showing 2{r} to the power of 2 square root of 2
f A LaTex expression showing 6{r} to the power of 4
4
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times y to the power of 2 times y to the power of 2 times
a A LaTex expression showing y
b A LaTex expression showing 2{y} to the power of 2
c A LaTex expression showing 4ysquare root of 4
d A LaTex expression showing ysquare root of 3
e A LaTex expression showing 3{y} to the power of 4 square root of 3
f A LaTex expression showing 5{y} to the power of 2
5
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times n to the power of 2 times
a A LaTex expression showing n
b A LaTex expression showing 2n
c A LaTex expression showing nsquare root of 2
d A LaTex expression showing 3{n} to the power of 2
e A LaTex expression showing 5n
f A LaTex expression showing 4{n} to the power of 3 square root of 2
6
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times x to the power of 2 times x to the power of 2 times
a A LaTex expression showing {x} to the power of 2
b A LaTex expression showing {x} to the power of 2 square root of 4
c A LaTex expression showing 2{x} to the power of 4 square root of 3
d A LaTex expression showing 2{x} to the power of 2
e A LaTex expression showing 4{x} to the power of 2
f A LaTex expression showing 5{x} to the power of 3 square root of 3
7
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times c to the power of 2 times
a A LaTex expression showing 5csquare root of 4
b A LaTex expression showing {c} to the power of 3
c A LaTex expression showing {c} to the power of 2 square root of 3
d A LaTex expression showing 2c
e A LaTex expression showing {c} to the power of 2 square root of 2
f A LaTex expression showing {c} to the power of 3 square root of 2