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.

more
View

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

Mobius Math Academy logo
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{x to the power of 2 {y} to the power of 4 }
a A LaTex expression showing x{y} to the power of 3 square root of 3
b A LaTex expression showing 3xy
c A LaTex expression showing 2x{y} to the power of 2
d A LaTex expression showing 5{x} to the power of 3 {y} to the power of 2
e A LaTex expression showing 2{x} to the power of 2 {y} to the power of 2
2
Simplify the radical
A LaTex expression showing square root of 9{n to the power of 4 {c} to the power of 4 }
a A LaTex expression showing 6{n} to the power of 4 {c} to the power of 3
b A LaTex expression showing 3{n} to the power of 2 {c} to the power of 2
c A LaTex expression showing n{c} to the power of 3 square root of 3
d A LaTex expression showing 4nc
e A LaTex expression showing 3{n} to the power of 3 c
3
Simplify the radical
A LaTex expression showing square root of 9{n to the power of 2 {x} to the power of 2 }
a A LaTex expression showing 3{n} to the power of 3 x
b A LaTex expression showing 2{n} to the power of 2 {x} to the power of 3 square root of 2
c A LaTex expression showing 3nx
d A LaTex expression showing 2nxsquare root of 2
e A LaTex expression showing 6n{x} to the power of 3
4
Simplify the radical
A LaTex expression showing square root of 16{y to the power of 4 {d} to the power of 4 }
a A LaTex expression showing 2y{d} to the power of 3 square root of 4
b A LaTex expression showing 4{y} to the power of 2 {d} to the power of 2
c A LaTex expression showing 4{y} to the power of 3 dsquare root of 2
d A LaTex expression showing 7{y} to the power of 4 {d} to the power of 2 square root of 2
e A LaTex expression showing 5y{d} to the power of 2 square root of 2
5
Simplify the radical
A LaTex expression showing square root of 25{d to the power of 4 {r} to the power of 4 }
a A LaTex expression showing 5{d} to the power of 2 {r} to the power of 2
b A LaTex expression showing dr
c A LaTex expression showing 2d{r} to the power of 3 square root of 2
d A LaTex expression showing 3d{r} to the power of 4
e A LaTex expression showing {d} to the power of 2 r
6
Simplify the radical
A LaTex expression showing square root of 16{d to the power of 2 {r} to the power of 4 }
a A LaTex expression showing 3drsquare root of 4
b A LaTex expression showing 2{d} to the power of 3 {r} to the power of 4
c A LaTex expression showing 2dr
d A LaTex expression showing 7{d} to the power of 2 r
e A LaTex expression showing 4d{r} to the power of 2
7
Simplify the radical
A LaTex expression showing square root of 25{z to the power of 4 {c} to the power of 4 }
a A LaTex expression showing 4{z} to the power of 3 {c} to the power of 2
b A LaTex expression showing 5{z} to the power of 2 {c} to the power of 2
c A LaTex expression showing 8zc
d A LaTex expression showing 8{z} to the power of 4 {c} to the power of 4 square root of 3
e A LaTex expression showing 7z{c} to the power of 2 square root of 2