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Radicals - Square - Simplifying from Factors, Values and Variables, Nothing Remaining (Level 2)

This math topic focuses on simplifying square radicals involving factors, values, and variables. It involves problems where students practice simplifying expressions under the radical to their simplest form. Each problem presents a radical expression containing repeated factors and variables, and students must simplify these using radical laws and algebraic manipulations. The skills practiced include understanding the properties of exponents and simplifying expressions within square roots.

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, Nothing Remaining

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

Simplify the radical

5â‹…5â‹…zâ‹…zâ‹…zâ‹…z\sqrt{5\cdot 5\cdot z\cdot z\cdot z\cdot z}

Radicals - Square - Simplifying from Factors, Values and Variables, Nothing Remaining Worksheet

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Math worksheet on 'Radicals - Square - Simplifying from Factors, Values and Variables, Nothing 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 5 times 5 times d times d times d times d
a A LaTex expression showing 5dsquare root of 4
b A LaTex expression showing 2dsquare root of 3
c A LaTex expression showing 4{d} to the power of 3
d A LaTex expression showing 8{d} to the power of 4
e A LaTex expression showing 3d
f A LaTex expression showing 5{d} to the power of 2
2
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times n times n times n times n
a A LaTex expression showing 7{n} to the power of 2 square root of 4
b A LaTex expression showing 6n
c A LaTex expression showing {n} to the power of 4 square root of 2
d A LaTex expression showing 4{n} to the power of 2
e A LaTex expression showing 2{n} to the power of 4
f A LaTex expression showing 5{n} to the power of 4 square root of 3
3
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times x times x times x times x
a A LaTex expression showing x
b A LaTex expression showing 5xsquare root of 2
c A LaTex expression showing 3x
d A LaTex expression showing 6x
e A LaTex expression showing {x} to the power of 3
f A LaTex expression showing 4{x} to the power of 2
4
Simplify the radical
A LaTex expression showing square root of 2 times 2 times 2 times 2 times n times n
a A LaTex expression showing 4n
b A LaTex expression showing n
c A LaTex expression showing {n} to the power of 3 square root of 4
d A LaTex expression showing 7{n} to the power of 2 square root of 4
e A LaTex expression showing nsquare root of 2
f A LaTex expression showing 7n
5
Simplify the radical
A LaTex expression showing square root of 5 times 5 times m times m times m times m
a A LaTex expression showing 3msquare root of 3
b A LaTex expression showing 5{m} to the power of 2
c A LaTex expression showing 8{m} to the power of 3
d A LaTex expression showing 8{m} to the power of 2
e A LaTex expression showing 4{m} to the power of 3
f A LaTex expression showing 4{m} to the power of 2
6
Simplify the radical
A LaTex expression showing square root of 2 times 2 times b times b times b times b
a A LaTex expression showing b
b A LaTex expression showing 3{b} to the power of 3 square root of 3
c A LaTex expression showing 5b
d A LaTex expression showing 2{b} to the power of 2
e A LaTex expression showing {b} to the power of 3
f A LaTex expression showing 3{b} to the power of 2 square root of 4
7
Simplify the radical
A LaTex expression showing square root of 3 times 3 times z times z times z times z
a A LaTex expression showing 4{z} to the power of 2
b A LaTex expression showing 3{z} to the power of 2
c A LaTex expression showing z
d A LaTex expression showing 2z
e A LaTex expression showing 2{z} to the power of 3
f A LaTex expression showing 5{z} to the power of 4