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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

5⋅5⋅7⋅x⋅x\sqrt{5\cdot 5\cdot 7\cdot x\cdot x}

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 Practice' Learn online: app.mobius.academy/math/units/radicals_simplifying_practice/
1
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 7 times b times b
a A LaTex expression showing 4{b} to the power of 3 square root of 8
b A LaTex expression showing 5bsquare root of 7
c A LaTex expression showing 5bsquare root of 10
d A LaTex expression showing 4bsquare root of 6
e A LaTex expression showing 8bsquare root of 10
f A LaTex expression showing 3{b} to the power of 3 square root of 7
2
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 7 times d
a A LaTex expression showing 2square root of 7d
b A LaTex expression showing 3square root of 3d
c A LaTex expression showing square root of 6{d to the power of 3 }
d A LaTex expression showing square root of 5d
e A LaTex expression showing 5square root of 3{d to the power of 2 }
f A LaTex expression showing square root of 7{d to the power of 2 }
3
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 7 times x times x
a A LaTex expression showing 7{x} to the power of 3 square root of 6
b A LaTex expression showing 4xsquare root of 3
c A LaTex expression showing 6xsquare root of 5
d A LaTex expression showing 5xsquare root of 7
e A LaTex expression showing 4xsquare root of 8
f A LaTex expression showing {x} to the power of 2 square root of 6
4
Simplify the radical
A LaTex expression showing square root of 3 times 5 times 5 times n times n times n
a A LaTex expression showing 2nsquare root of 2{n to the power of 3 }
b A LaTex expression showing 6nsquare root of 4n
c A LaTex expression showing 2nsquare root of 2n
d A LaTex expression showing 3nsquare root of 6{n to the power of 3 }
e A LaTex expression showing 5nsquare root of 3n
f A LaTex expression showing 6{n} to the power of 3 square root of n
5
Simplify the radical
A LaTex expression showing square root of 3 times 3 times 7 times n times n
a A LaTex expression showing {n} to the power of 3 square root of 4
b A LaTex expression showing {n} to the power of 2 square root of 7
c A LaTex expression showing 3nsquare root of 7
d A LaTex expression showing 2nsquare root of 10
e A LaTex expression showing 2nsquare root of 9
f A LaTex expression showing 3nsquare root of 4
6
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 3 times n times n
a A LaTex expression showing n
b A LaTex expression showing 3nsquare root of 5
c A LaTex expression showing 5n
d A LaTex expression showing 2nsquare root of 3
e A LaTex expression showing 4{n} to the power of 2 square root of 3
f A LaTex expression showing {n} to the power of 2 square root of 2
7
Simplify the radical
A LaTex expression showing square root of 5 times 5 times 7 times z
a A LaTex expression showing 4square root of 5{z to the power of 2 }
b A LaTex expression showing 4square root of 7z
c A LaTex expression showing 3square root of 7z
d A LaTex expression showing 5square root of 7z
e A LaTex expression showing 4square root of 5z
f A LaTex expression showing square root of 4z