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Radical

Square - Simplifying from Factors, Values and Variables, Radical Remaining (Level 2)

This math topic focuses on simplifying square roots involving factors, values, and variables, with a focus on identifying and simplifying expressions using radical notation. Specific skills practiced include multiplying factors within a radical, simplifying expressions to their simplest radical form, and handling variables within square roots. Each problem presents a radical expression and multiple choice answers, requiring students to apply their understanding of radical properties and arithmetic to select the correct simplified form.

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

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Square - Simplifying from Factors, Values and Variables, Radical Remaining

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Simplify the radical

2⋅2⋅5⋅r⋅r⋅r\sqrt{2\cdot 2\cdot 5\cdot r\cdot r\cdot r}

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Radicals - Square - Simplifying from Factors, Values and Variables, Radical Remaining Worksheet

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Math worksheet on 'Radicals - Square - Simplifying from Factors, Values and Variables, Radical 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 3 times 3 times 3 times m times m times m
a A LaTex expression showing 4msquare root of {m to the power of 3 }
b A LaTex expression showing 3msquare root of 3m
c A LaTex expression showing msquare root of 3m
d A LaTex expression showing msquare root of m
e A LaTex expression showing 2{m} to the power of 2 square root of 4m
f A LaTex expression showing msquare root of 3{m to the power of 3 }
2
Simplify the radical
A LaTex expression showing square root of 3 times 3 times 5 times d times d times d
a A LaTex expression showing {d} to the power of 3 square root of 8d
b A LaTex expression showing 6{d} to the power of 3 square root of 8{d to the power of 2 }
c A LaTex expression showing 6dsquare root of 3{d to the power of 2 }
d A LaTex expression showing 2{d} to the power of 2 square root of 6d
e A LaTex expression showing 3dsquare root of 5d
f A LaTex expression showing 4dsquare root of 3d
3
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 5 times x times x times x times x times x
a A LaTex expression showing 6{x} to the power of 2 square root of 5{x to the power of 3 }
b A LaTex expression showing 2{x} to the power of 3 square root of 7x
c A LaTex expression showing 5{x} to the power of 2 square root of 5x
d A LaTex expression showing 4{x} to the power of 3 square root of 5x
e A LaTex expression showing 2xsquare root of 3{x to the power of 2 }
f A LaTex expression showing 7xsquare root of 5{x to the power of 3 }
4
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 5 times p
a A LaTex expression showing 5square root of 2{p to the power of 2 }
b A LaTex expression showing 2square root of 5p
c A LaTex expression showing 5square root of 3p
d A LaTex expression showing 7square root of 5{p to the power of 3 }
e A LaTex expression showing 8square root of 2p
f A LaTex expression showing 5square root of 5p
5
Simplify the radical
A LaTex expression showing square root of 2 times 5 times 5 times y times y times y times y
a A LaTex expression showing 5{y} to the power of 2 square root of 2
b A LaTex expression showing 5ysquare root of 2
c A LaTex expression showing 3{y} to the power of 2 square root of 3
d A LaTex expression showing 8ysquare root of 4
e A LaTex expression showing 3{y} to the power of 3 square root of 5
f A LaTex expression showing 2{y} to the power of 2
6
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times d times d times d
a A LaTex expression showing {d} to the power of 2 square root of {d to the power of 3 }
b A LaTex expression showing 3{d} to the power of 2 square root of 5d
c A LaTex expression showing dsquare root of d
d A LaTex expression showing 2dsquare root of 2d
e A LaTex expression showing dsquare root of 3d
f A LaTex expression showing 2dsquare root of {d to the power of 2 }
7
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 5 times d times d times d times d times d
a A LaTex expression showing 5dsquare root of 8d
b A LaTex expression showing 4{d} to the power of 2 square root of 5d
c A LaTex expression showing 6dsquare root of 7d
d A LaTex expression showing 7dsquare root of 6{d to the power of 3 }
e A LaTex expression showing 5{d} to the power of 4 square root of d
f A LaTex expression showing 6dsquare root of 6{d to the power of 3 }