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Radicals - Square - Simplifying, Values and Variables, Nothing Remaining (Level 1)

This math topic focuses on simplifying square roots of numerical and variable expressions. Students are presented with problems that require simplifying radicals that include perfect squares and variable terms raised to a power. Each question offers multiple answer choices, tasking students to select the correct simplified form of given square root expressions involving variables like z, y, x, d, and p. The problems are introductory and part of a broader unit on simplifying radicals.

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

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Square - Simplifying, Values and Variables, Nothing Remaining

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Simplify the radical

4r2\sqrt{4{r}^{2}}

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

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Math worksheet on 'Radicals - Square - Simplifying, Values and Variables, Nothing 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 9{p to the power of 2 }
a A LaTex expression showing 2{p} to the power of 2
b A LaTex expression showing 6{p} to the power of 3
c A LaTex expression showing 6p
d A LaTex expression showing 4p
e A LaTex expression showing {p} to the power of 3
f A LaTex expression showing 3p
2
Simplify the radical
A LaTex expression showing square root of 4{y to the power of 2 }
a A LaTex expression showing 5ysquare root of 2
b A LaTex expression showing {y} to the power of 2
c A LaTex expression showing 4y
d A LaTex expression showing 2y
e A LaTex expression showing y
f A LaTex expression showing 5{y} to the power of 2
3
Simplify the radical
A LaTex expression showing square root of 9{b to the power of 2 }
a A LaTex expression showing {b} to the power of 2
b A LaTex expression showing {b} to the power of 3 square root of 4
c A LaTex expression showing 4b
d A LaTex expression showing 3b
e A LaTex expression showing {b} to the power of 3 square root of 2
f A LaTex expression showing bsquare root of 2
4
Simplify the radical
A LaTex expression showing square root of 4{d to the power of 2 }
a A LaTex expression showing 2dsquare root of 4
b A LaTex expression showing 2{d} to the power of 2
c A LaTex expression showing d
d A LaTex expression showing 2d
e A LaTex expression showing 4{d} to the power of 2
f A LaTex expression showing {d} to the power of 3
5
Simplify the radical
A LaTex expression showing square root of 16{x to the power of 2 }
a A LaTex expression showing 6x
b A LaTex expression showing 7xsquare root of 4
c A LaTex expression showing 4x
d A LaTex expression showing 3{x} to the power of 3 square root of 3
e A LaTex expression showing {x} to the power of 2
f A LaTex expression showing 3x
6
Simplify the radical
A LaTex expression showing square root of 25{c to the power of 2 }
a A LaTex expression showing {c} to the power of 2 square root of 4
b A LaTex expression showing 2csquare root of 3
c A LaTex expression showing {c} to the power of 2
d A LaTex expression showing 6c
e A LaTex expression showing 5c
f A LaTex expression showing 4csquare root of 4
7
Simplify the radical
A LaTex expression showing square root of 16{p to the power of 2 }
a A LaTex expression showing 3p
b A LaTex expression showing 4p
c A LaTex expression showing 6p
d A LaTex expression showing p
e A LaTex expression showing 6psquare root of 3
f A LaTex expression showing 5p