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

This math topic focuses on simplifying square roots involving both numerical values and variables. Problems involve evaluating square roots, such as the square root of integers raised to even powers, and simplifying expressions involving the square root of variables raised to various powers. The tasks aim to enhance students' understanding of radical expressions and their simplifications, which are fundamental concepts in algebra. Multiple-choice answers are provided, allowing students to select the correct simplified form of each radical expression.

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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{z to the power of 4 }
a A LaTex expression showing 3z
b A LaTex expression showing {z} to the power of 3
c A LaTex expression showing zsquare root of 2
d A LaTex expression showing 3{z} to the power of 2
e A LaTex expression showing 5{z} to the power of 4
2
Simplify the radical
A LaTex expression showing square root of 4{m to the power of 2 }
a A LaTex expression showing 4msquare root of 2
b A LaTex expression showing 2m
c A LaTex expression showing m
d A LaTex expression showing msquare root of 3
e A LaTex expression showing {m} to the power of 3
3
Simplify the radical
A LaTex expression showing square root of 16{m to the power of 4 }
a A LaTex expression showing {m} to the power of 3 square root of 3
b A LaTex expression showing 6m
c A LaTex expression showing 4{m} to the power of 2
d A LaTex expression showing 7{m} to the power of 2
e A LaTex expression showing 2{m} to the power of 2
4
Simplify the radical
A LaTex expression showing square root of 9{b to the power of 4 }
a A LaTex expression showing 3{b} to the power of 2
b A LaTex expression showing 4{b} to the power of 2
c A LaTex expression showing 4bsquare root of 4
d A LaTex expression showing 4{b} to the power of 3 square root of 4
e A LaTex expression showing 5{b} to the power of 4 square root of 2
5
Simplify the radical
A LaTex expression showing square root of 4{d to the power of 4 }
a A LaTex expression showing 5{d} to the power of 3 square root of 4
b A LaTex expression showing 2{d} to the power of 2
c A LaTex expression showing dsquare root of 3
d A LaTex expression showing 4{d} to the power of 4
e A LaTex expression showing 5d
6
Simplify the radical
A LaTex expression showing square root of 4{n to the power of 4 }
a A LaTex expression showing 2{n} to the power of 2
b A LaTex expression showing 2nsquare root of 3
c A LaTex expression showing 5{n} to the power of 2 square root of 4
d A LaTex expression showing {n} to the power of 3 square root of 2
e A LaTex expression showing 5nsquare root of 4
7
Simplify the radical
A LaTex expression showing square root of 9{p to the power of 4 }
a A LaTex expression showing 2p
b A LaTex expression showing 5{p} to the power of 4 square root of 2
c A LaTex expression showing 3{p} to the power of 2
d A LaTex expression showing 4p
e A LaTex expression showing 3psquare root of 2
8
Simplify the radical
A LaTex expression showing square root of 25{p to the power of 2 }
a A LaTex expression showing p
b A LaTex expression showing 5p
c A LaTex expression showing 2p
d A LaTex expression showing 6p
e A LaTex expression showing 6{p} to the power of 2 square root of 2