Square - Simplify From Squared Factors, Values and Variables, Radical Remaining (Level 1)

This math topic focuses on simplifying radicals that contain squared factors, numerical values, and variables while leaving some radicals remaining. It involves practicing skills on extracting and simplifying square roots from expressions with squared terms and variables, distinguishing simplified radical forms, and correctly applying basic algebraic rules to reduce complex radical expressions. These problems enhance understanding of manipulating terms under the square root and applying exponent rules to simplify expressions, which are crucial skills in algebra. Each question offers multiple answer choices for students to verify the correctness of their simplification process.

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Radicals - Square - Simplify From Squared Factors, Values and Variables, Radical Remaining Worksheet

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Radicals - Square - Simplify From Squared Factors, Values and Variables, Radical Remaining
1
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 11 times b
a A LaTex expression showing 3square root of 11b
b A LaTex expression showing 6square root of 8{b to the power of 2 }
c A LaTex expression showing 5square root of 9{b to the power of 2 }
d A LaTex expression showing 4square root of 11b
e A LaTex expression showing 6square root of 11{b to the power of 2 }
2
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 7 times n to the power of 2
a A LaTex expression showing 6{n} to the power of 3 square root of 4
b A LaTex expression showing 2nsquare root of 10
c A LaTex expression showing {n} to the power of 3 square root of 4
d A LaTex expression showing 3nsquare root of 7
e A LaTex expression showing nsquare root of 4
3
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times 11 times n to the power of 2 times n
a A LaTex expression showing 7nsquare root of 12{n to the power of 3 }
b A LaTex expression showing 5nsquare root of 7n
c A LaTex expression showing 2{n} to the power of 3 square root of 12n
d A LaTex expression showing 4nsquare root of 11n
e A LaTex expression showing nsquare root of 9n
4
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 7 times d
a A LaTex expression showing square root of 6d
b A LaTex expression showing square root of 3d
c A LaTex expression showing square root of 9d
d A LaTex expression showing 2square root of 7d
e A LaTex expression showing 5square root of 10d
5
Simplify the radical
A LaTex expression showing square root of 2 times 5 to the power of 2 times b to the power of 2
a A LaTex expression showing 2{b} to the power of 3
b A LaTex expression showing 5bsquare root of 4
c A LaTex expression showing 5{b} to the power of 3
d A LaTex expression showing 6bsquare root of 2
e A LaTex expression showing 5bsquare root of 2
6
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 3 times m to the power of 2 times m
a A LaTex expression showing 2msquare root of 3m
b A LaTex expression showing {m} to the power of 3 square root of m
c A LaTex expression showing 4msquare root of 3m
d A LaTex expression showing {m} to the power of 3 square root of 3m
e A LaTex expression showing {m} to the power of 2 square root of m
7
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 7 times c to the power of 2 times c
a A LaTex expression showing 2csquare root of 7c
b A LaTex expression showing csquare root of 9{c to the power of 3 }
c A LaTex expression showing csquare root of 4c
d A LaTex expression showing 4csquare root of 3c
e A LaTex expression showing 3{c} to the power of 2 square root of 3{c to the power of 2 }
8
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 11 times n to the power of 2
a A LaTex expression showing 2nsquare root of 12
b A LaTex expression showing 5nsquare root of 11
c A LaTex expression showing 2nsquare root of 13
d A LaTex expression showing 2nsquare root of 11
e A LaTex expression showing 5{n} to the power of 2 square root of 10