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

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Radicals - Square - Simplifying, Values and Variables, Nothing Remaining
1
Simplify the radical
A LaTex expression showing square root of 9{y to the power of 2 }
a A LaTex expression showing ysquare root of 2
b A LaTex expression showing ysquare root of 4
c A LaTex expression showing {y} to the power of 2 square root of 3
d A LaTex expression showing 3y
e A LaTex expression showing 4ysquare root of 2
2
Simplify the radical
A LaTex expression showing square root of 16{b to the power of 2 }
a A LaTex expression showing 6{b} to the power of 3
b A LaTex expression showing 6b
c A LaTex expression showing 4b
d A LaTex expression showing b
3
Simplify the radical
A LaTex expression showing square root of 16{z to the power of 2 }
a A LaTex expression showing 2z
b A LaTex expression showing 4z
c A LaTex expression showing 7z
d A LaTex expression showing 3z
e A LaTex expression showing z
4
Simplify the radical
A LaTex expression showing square root of 9{m to the power of 2 }
a A LaTex expression showing {m} to the power of 2
b A LaTex expression showing m
c A LaTex expression showing 3m
d A LaTex expression showing 3msquare root of 3
5
Simplify the radical
A LaTex expression showing square root of 25{c to the power of 2 }
a A LaTex expression showing 5{c} to the power of 2
b A LaTex expression showing 4{c} to the power of 2
c A LaTex expression showing 5c
d A LaTex expression showing 8c
e A LaTex expression showing 2{c} to the power of 2 square root of 3
6
Simplify the radical
A LaTex expression showing square root of 4{r to the power of 2 }
a A LaTex expression showing {r} to the power of 3
b A LaTex expression showing 3r
c A LaTex expression showing 4r
d A LaTex expression showing {r} to the power of 3 square root of 4
e A LaTex expression showing 2r
7
Simplify the radical
A LaTex expression showing square root of 4{b to the power of 2 }
a A LaTex expression showing 3b
b A LaTex expression showing b
c A LaTex expression showing 2b
d A LaTex expression showing 4b
8
Simplify the radical
A LaTex expression showing square root of 9{p to the power of 2 }
a A LaTex expression showing 3p
b A LaTex expression showing 5p
c A LaTex expression showing 3psquare root of 2
d A LaTex expression showing 4p