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Radicals - Square - Simplifying, Values and Variables, Nothing Remaining (Level 3)

This math topic focuses on advanced simplification of square roots involving both constants and variables. It involves problems where students are required to simplify radicals that contain perfect squares and power of variables, ensuring that the simplified form has no radical remnants. Each problem presents multiple choice answers, challenging students to determine the correct simplified form of radical expressions. This practice enhances skills in identifying and simplifying square roots, handling exponents, and applying basic algebraic rules in the context of 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

25d4x2\sqrt{25{d}^{4}{x}^{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 3)'. Part of a broader unit on 'Radicals - Simplifying Advanced' Learn online: app.mobius.academy/math/units/radicals_simplifying_advanced/
1
Simplify the radical
A LaTex expression showing square root of 4{p to the power of 4 {m} to the power of 2 }
a A LaTex expression showing 2p{m} to the power of 2
b A LaTex expression showing 2{p} to the power of 2 m
c A LaTex expression showing 5pm
d A LaTex expression showing pmsquare root of 2
e A LaTex expression showing 4p{m} to the power of 2 square root of 2
f A LaTex expression showing {p} to the power of 3 m
2
Simplify the radical
A LaTex expression showing square root of 4{x to the power of 2 {n} to the power of 4 }
a A LaTex expression showing {x} to the power of 3 {n} to the power of 3
b A LaTex expression showing 4xnsquare root of 2
c A LaTex expression showing 2x{n} to the power of 2
d A LaTex expression showing 4{x} to the power of 2 {n} to the power of 4 square root of 2
e A LaTex expression showing x{n} to the power of 4
f A LaTex expression showing xn
3
Simplify the radical
A LaTex expression showing square root of 16{x to the power of 2 {r} to the power of 4 }
a A LaTex expression showing {x} to the power of 3 {r} to the power of 2
b A LaTex expression showing 3xrsquare root of 3
c A LaTex expression showing 2xrsquare root of 3
d A LaTex expression showing 5x{r} to the power of 3
e A LaTex expression showing 3{x} to the power of 2 {r} to the power of 4
f A LaTex expression showing 4x{r} to the power of 2
4
Simplify the radical
A LaTex expression showing square root of 4{c to the power of 4 {r} to the power of 2 }
a A LaTex expression showing 2{c} to the power of 2 r
b A LaTex expression showing {c} to the power of 3 {r} to the power of 3
c A LaTex expression showing cr
d A LaTex expression showing {c} to the power of 2 {r} to the power of 3
e A LaTex expression showing {c} to the power of 2 r
f A LaTex expression showing 2{c} to the power of 2 rsquare root of 4
5
Simplify the radical
A LaTex expression showing square root of 9{y to the power of 4 {n} to the power of 4 }
a A LaTex expression showing 4{y} to the power of 4 nsquare root of 4
b A LaTex expression showing {y} to the power of 3 {n} to the power of 2 square root of 4
c A LaTex expression showing yn
d A LaTex expression showing {y} to the power of 2 {n} to the power of 2 square root of 3
e A LaTex expression showing 4y{n} to the power of 2
f A LaTex expression showing 3{y} to the power of 2 {n} to the power of 2
6
Simplify the radical
A LaTex expression showing square root of 9{z to the power of 2 {b} to the power of 2 }
a A LaTex expression showing 6{z} to the power of 3 bsquare root of 3
b A LaTex expression showing 4{z} to the power of 3 bsquare root of 2
c A LaTex expression showing 3z{b} to the power of 3
d A LaTex expression showing 3zb
e A LaTex expression showing 2{z} to the power of 3 b
f A LaTex expression showing 3zbsquare root of 4
7
Simplify the radical
A LaTex expression showing square root of 25{b to the power of 2 {m} to the power of 4 }
a A LaTex expression showing 5bm
b A LaTex expression showing 3{b} to the power of 2 {m} to the power of 2 square root of 4
c A LaTex expression showing 7bmsquare root of 2
d A LaTex expression showing 5b{m} to the power of 2
e A LaTex expression showing 3b{m} to the power of 2 square root of 3
f A LaTex expression showing 8b{m} to the power of 2