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Radicals - 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.

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

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

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


Simplify the radical

52â‹…7â‹…p2â‹…pâ‹…\sqrt{5^2\cdot 7\cdot p^2\cdot p\cdot }

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

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Math worksheet on 'Radicals - Square - Simplify From Squared Factors, Values and Variables, Radical 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 2 to the power of 2 times 2 times b times
a A LaTex expression showing 3square root of b
b A LaTex expression showing 2square root of 2b
c A LaTex expression showing 3square root of 5b
d A LaTex expression showing square root of 5{b to the power of 2 }
e A LaTex expression showing 2square root of {b to the power of 2 }
f A LaTex expression showing 5square root of 3{b to the power of 2 }
2
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 y to the power of 2 times
a A LaTex expression showing {y} to the power of 2 square root of 14
b A LaTex expression showing 5ysquare root of 12
c A LaTex expression showing 4ysquare root of 11
d A LaTex expression showing 7ysquare root of 7
e A LaTex expression showing 6{y} to the power of 3 square root of 12
f A LaTex expression showing 5{y} to the power of 3 square root of 14
3
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times 3 times r to the power of 2 times
a A LaTex expression showing 2rsquare root of 2
b A LaTex expression showing 2{r} to the power of 2 square root of 5
c A LaTex expression showing 2rsquare root of 4
d A LaTex expression showing 3r
e A LaTex expression showing 3rsquare root of 3
f A LaTex expression showing {r} to the power of 2 square root of 6
4
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times 5 times p times
a A LaTex expression showing 8square root of 2p
b A LaTex expression showing 5square root of 5p
c A LaTex expression showing 7square root of {p to the power of 3 }
d A LaTex expression showing 3square root of 2{p to the power of 3 }
e A LaTex expression showing 8square root of 3{p to the power of 2 }
f A LaTex expression showing square root of 2{p to the power of 3 }
5
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times 7 times b times
a A LaTex expression showing 4square root of 7b
b A LaTex expression showing 6square root of 8b
c A LaTex expression showing 4square root of 4b
d A LaTex expression showing square root of 4{b to the power of 3 }
e A LaTex expression showing 2square root of 5b
f A LaTex expression showing 5square root of 5b
6
Simplify the radical
A LaTex expression showing square root of 3 times 5 to the power of 2 times x times
a A LaTex expression showing 5square root of 3x
b A LaTex expression showing 2square root of {x to the power of 3 }
c A LaTex expression showing 6square root of x
d A LaTex expression showing 3square root of 5{x to the power of 3 }
e A LaTex expression showing 7square root of x
f A LaTex expression showing 6square root of 4x
7
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 times x to the power of 2 times x times
a A LaTex expression showing 4xsquare root of 4{x to the power of 2 }
b A LaTex expression showing 5xsquare root of {x to the power of 2 }
c A LaTex expression showing xsquare root of 4x
d A LaTex expression showing 2xsquare root of 2{x to the power of 2 }
e A LaTex expression showing xsquare root of x
f A LaTex expression showing 2xsquare root of 2x