Square - Simplifying, Values and Variables, Radical Remaining (Level 2)

This math topic involves practicing techniques for simplifying radical expressions, specifically square roots involving variables and coefficients. The problems include various complexities by incorporating different powers of variables within the radicands. Skills tested include factoring under the radical and handling variables within radicals, maintaining a balance between coefficients and radicand components post-simplification. The questions encourage mastery in extracting squares from under radicals and simplifying the expressions effectively to their simplest forms. This involves recognizing perfect squares and properly manipulating the powers of variables.

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

more
View

Radicals - Square - Simplifying, Values and Variables, Radical Remaining Worksheet

Mobius Math Academy logo
Math worksheet on 'Radicals - Square - Simplifying, Values and Variables, Radical Remaining (Level 2)'. 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 75{m to the power of 4 }
a A LaTex expression showing 7{m} to the power of 4 square root of 5
b A LaTex expression showing 8m
c A LaTex expression showing 5{m} to the power of 2 square root of 3
d A LaTex expression showing 8{m} to the power of 3 square root of 5
e A LaTex expression showing 6{m} to the power of 3 square root of 5
2
Simplify the radical
A LaTex expression showing square root of 99r
a A LaTex expression showing 3square root of 11r
b A LaTex expression showing square root of 10r
c A LaTex expression showing 4square root of 7{r to the power of 3 }
d A LaTex expression showing square root of 11{r to the power of 3 }
e A LaTex expression showing 2square root of 14r
3
Simplify the radical
A LaTex expression showing square root of 63{r to the power of 2 }
a A LaTex expression showing 3rsquare root of 7
b A LaTex expression showing 4{r} to the power of 3 square root of 4
c A LaTex expression showing rsquare root of 9
d A LaTex expression showing rsquare root of 4
e A LaTex expression showing 5{r} to the power of 3 square root of 7
4
Simplify the radical
A LaTex expression showing square root of 275{b to the power of 5 }
a A LaTex expression showing 7{b} to the power of 3 square root of 11{b to the power of 2 }
b A LaTex expression showing 3bsquare root of 10{b to the power of 2 }
c A LaTex expression showing 5{b} to the power of 2 square root of 11b
d A LaTex expression showing 7{b} to the power of 2 square root of 12b
e A LaTex expression showing 3{b} to the power of 3 square root of 10{b to the power of 3 }
5
Simplify the radical
A LaTex expression showing square root of 18n
a A LaTex expression showing 4square root of 3n
b A LaTex expression showing 4square root of n
c A LaTex expression showing 3square root of 2n
d A LaTex expression showing 5square root of n
e A LaTex expression showing 6square root of n
6
Simplify the radical
A LaTex expression showing square root of 112{y to the power of 4 }
a A LaTex expression showing 7{y} to the power of 4 square root of 8
b A LaTex expression showing 4{y} to the power of 2 square root of 7
c A LaTex expression showing 2{y} to the power of 2 square root of 10
d A LaTex expression showing 3ysquare root of 9
7
Simplify the radical
A LaTex expression showing square root of 44{d to the power of 2 }
a A LaTex expression showing 4{d} to the power of 3 square root of 12
b A LaTex expression showing 4dsquare root of 13
c A LaTex expression showing {d} to the power of 3 square root of 13
d A LaTex expression showing 2dsquare root of 11