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Radicals - 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

2â‹…2â‹…7â‹…n\sqrt{2\cdot 2\cdot 7\cdot n}

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 Intro' Learn online: app.mobius.academy/math/units/radicals_simplifying_intro/
1
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 2 times d times d times d times d
a A LaTex expression showing dsquare root of 4
b A LaTex expression showing 3{d} to the power of 4 square root of 4
c A LaTex expression showing 7{d} to the power of 2
d A LaTex expression showing 4{d} to the power of 2 square root of 2
e A LaTex expression showing 6dsquare root of 3
f A LaTex expression showing 4{d} to the power of 2 square root of 5
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 4dsquare root of 3d
b A LaTex expression showing {d} to the power of 3 square root of 8d
c A LaTex expression showing 3dsquare root of 5d
d A LaTex expression showing 6dsquare root of 3{d to the power of 2 }
e A LaTex expression showing 6{d} to the power of 3 square root of 8{d to the power of 2 }
f A LaTex expression showing 2{d} to the power of 2 square root of 6d
3
Simplify the radical
A LaTex expression showing square root of 3 times 5 times 5 times z times z times z
a A LaTex expression showing 5zsquare root of {z to the power of 2 }
b A LaTex expression showing 2zsquare root of 6{z to the power of 2 }
c A LaTex expression showing 2zsquare root of z
d A LaTex expression showing 7{z} to the power of 2 square root of 6z
e A LaTex expression showing 7zsquare root of 3{z to the power of 3 }
f A LaTex expression showing 5zsquare root of 3z
4
Simplify the radical
A LaTex expression showing square root of 3 times 5 times 5 times c times c
a A LaTex expression showing 6c
b A LaTex expression showing 8{c} to the power of 2 square root of 6
c A LaTex expression showing 2csquare root of 4
d A LaTex expression showing 4{c} to the power of 3 square root of 2
e A LaTex expression showing csquare root of 3
f A LaTex expression showing 5csquare root of 3
5
Simplify the radical
A LaTex expression showing square root of 3 times 3 times 3 times b
a A LaTex expression showing 2square root of b
b A LaTex expression showing 3square root of 3b
c A LaTex expression showing 6square root of b
d A LaTex expression showing square root of 5{b to the power of 2 }
e A LaTex expression showing square root of 5b
f A LaTex expression showing square root of 4b
6
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 11 times p
a A LaTex expression showing 2square root of 11p
b A LaTex expression showing 3square root of 13{p to the power of 2 }
c A LaTex expression showing 3square root of 8p
d A LaTex expression showing 5square root of 13p
e A LaTex expression showing 2square root of 8p
f A LaTex expression showing square root of 13p
7
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 11 times y times y times y
a A LaTex expression showing 3{y} to the power of 2 square root of 9{y to the power of 2 }
b A LaTex expression showing 2ysquare root of 11y
c A LaTex expression showing 5ysquare root of 11y
d A LaTex expression showing {y} to the power of 3 square root of 13y
e A LaTex expression showing ysquare root of 14{y to the power of 2 }
f A LaTex expression showing ysquare root of 14y