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Radicals - Square - Simplifying from Factors, Values and Variables, Radical Remaining (Level 1)

This topic covers simplifying square roots involving factors, values, and variables, with a radical remaining. Problems require extracting and simplifying square roots from algebraic expressions. The questions present multiple-choice answers, focusing on simplification techniques such as factoring out perfect squares and handling variables within the radical. This emphasizes foundational skills in manipulating radicals, which is crucial for higher-level algebra.

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‹…2â‹…m\sqrt{2\cdot 2\cdot 2\cdot m}

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 1)'. 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 3 times 3 times 7 times n times n
a A LaTex expression showing 3nsquare root of 4
b A LaTex expression showing 3nsquare root of 7
c A LaTex expression showing {n} to the power of 3 square root of 4
d A LaTex expression showing 2nsquare root of 9
e A LaTex expression showing 2nsquare root of 10
f A LaTex expression showing {n} to the power of 2 square root of 7
2
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 11 times n
a A LaTex expression showing 4square root of 8{n to the power of 2 }
b A LaTex expression showing 3square root of 7n
c A LaTex expression showing 5square root of 11n
d A LaTex expression showing 3square root of 12n
e A LaTex expression showing 3square root of 10n
f A LaTex expression showing 7square root of 7{n to the power of 2 }
3
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 7 times y
a A LaTex expression showing 3square root of 7y
b A LaTex expression showing 4square root of 7y
c A LaTex expression showing 4square root of 3{y to the power of 2 }
d A LaTex expression showing 6square root of 6y
e A LaTex expression showing 2square root of 3y
f A LaTex expression showing square root of 6y
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times 2 times n
a A LaTex expression showing 4square root of 2n
b A LaTex expression showing 2square root of n
c A LaTex expression showing 5square root of {n to the power of 3 }
d A LaTex expression showing 4square root of 5n
e A LaTex expression showing 3square root of 5{n to the power of 3 }
f A LaTex expression showing 5square root of 4{n to the power of 2 }
5
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 7 times b times b
a A LaTex expression showing 5bsquare root of 7
b A LaTex expression showing 3{b} to the power of 3 square root of 7
c A LaTex expression showing 5bsquare root of 10
d A LaTex expression showing 4{b} to the power of 3 square root of 8
e A LaTex expression showing 4bsquare root of 6
f A LaTex expression showing 8bsquare root of 10
6
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 7 times r times r
a A LaTex expression showing rsquare root of 5
b A LaTex expression showing 4{r} to the power of 3 square root of 4
c A LaTex expression showing {r} to the power of 3 square root of 5
d A LaTex expression showing {r} to the power of 2 square root of 3
e A LaTex expression showing rsquare root of 4
f A LaTex expression showing 2rsquare root of 7
7
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 7 times x times x
a A LaTex expression showing {x} to the power of 2 square root of 8
b A LaTex expression showing xsquare root of 5
c A LaTex expression showing 2xsquare root of 5
d A LaTex expression showing 5{x} to the power of 2 square root of 4
e A LaTex expression showing 2xsquare root of 7
f A LaTex expression showing xsquare root of 6