Radical

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

52c2\sqrt{5^2\cdot c^2}

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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 Practice' Learn online: app.mobius.academy/math/units/radicals_simplifying_practice/
1
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times p to the power of 2 times
a A LaTex expression showing {p} to the power of 3
b A LaTex expression showing 2{p} to the power of 2 square root of 2
c A LaTex expression showing psquare root of 4
d A LaTex expression showing 5psquare root of 3
e A LaTex expression showing 2p
f A LaTex expression showing p
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
a A LaTex expression showing 2z
b A LaTex expression showing z
c A LaTex expression showing 3z
d A LaTex expression showing zsquare root of 2
e A LaTex expression showing 2{z} to the power of 2 square root of 3
f A LaTex expression showing 4{z} to the power of 3 square root of 4
3
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times x to the power of 2 times
a A LaTex expression showing 2xsquare root of 2
b A LaTex expression showing 6x
c A LaTex expression showing xsquare root of 4
d A LaTex expression showing 2x
e A LaTex expression showing 5x
f A LaTex expression showing 3x
4
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times b to the power of 2 times
a A LaTex expression showing 2{b} to the power of 2
b A LaTex expression showing 7b
c A LaTex expression showing 2b
d A LaTex expression showing 3b
e A LaTex expression showing 3{b} to the power of 3
f A LaTex expression showing 5b
5
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times c to the power of 2 times c to the power of 2 times
a A LaTex expression showing 6{c} to the power of 2
b A LaTex expression showing 4c
c A LaTex expression showing 3{c} to the power of 2
d A LaTex expression showing {c} to the power of 4
e A LaTex expression showing 3c
f A LaTex expression showing c
6
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times b to the power of 2 times b to the power of 2 times
a A LaTex expression showing 8{b} to the power of 3
b A LaTex expression showing 7bsquare root of 3
c A LaTex expression showing 3{b} to the power of 4
d A LaTex expression showing 4{b} to the power of 2
e A LaTex expression showing 5{b} to the power of 2
f A LaTex expression showing 8{b} to the power of 4 square root of 3
7
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times d to the power of 2 times d to the power of 2 times
a A LaTex expression showing {d} to the power of 2 square root of 4
b A LaTex expression showing 3{d} to the power of 2
c A LaTex expression showing dsquare root of 4
d A LaTex expression showing 4dsquare root of 2
e A LaTex expression showing 5{d} to the power of 4 square root of 3
f A LaTex expression showing 3{d} to the power of 3 square root of 2