HomePricing

Radicals - Square - Simplify From Squared Factors, Values and Variables, Nothing Remaining (Level 1)

This math topic focuses on simplifying square radicals involving squared factors, values, and variables, ensuring nothing remains in the radical. It is an introduction to simplifying radicals, covering the fundamental skills needed to simplify expressions under a square root, especially when variables and constants are raised to the power of two. Each problem presents a radical expression and multiple choice answers, requiring students to identify the correct simplified form. The problems gradually build on complexity, reinforcing the understanding of how to handle square roots of squares in algebraic expressions.

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

View Unit

Square - Simplify From Squared Factors, Values and Variables, Nothing Remaining

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


Simplify the radical

32â‹…b2â‹…\sqrt{3^2\cdot b^2\cdot }

Radicals - Square - Simplify From Squared Factors, Values and Variables, Nothing Remaining Worksheet

Mobius Math Club logo
Math worksheet on 'Radicals - Square - Simplify From Squared Factors, Values and Variables, Nothing 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 3 to the power of 2 times d to the power of 2 times
a A LaTex expression showing {d} to the power of 2
b A LaTex expression showing 3dsquare root of 4
c A LaTex expression showing d
d A LaTex expression showing 3d
e A LaTex expression showing 3{d} to the power of 2
f A LaTex expression showing 6{d} to the power of 2
2
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times r to the power of 2 times
a A LaTex expression showing rsquare root of 4
b A LaTex expression showing 5r
c A LaTex expression showing 3r
d A LaTex expression showing 7r
e A LaTex expression showing 8r
f A LaTex expression showing 6r
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 z to the power of 2 times
a A LaTex expression showing z
b A LaTex expression showing 6z
c A LaTex expression showing 4z
d A LaTex expression showing {z} to the power of 2 square root of 4
e A LaTex expression showing 4{z} to the power of 2
f A LaTex expression showing 4{z} to the power of 3
4
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times m to the power of 2 times
a A LaTex expression showing 3m
b A LaTex expression showing {m} to the power of 2
c A LaTex expression showing msquare root of 2
d A LaTex expression showing 5msquare root of 2
e A LaTex expression showing 5m
f A LaTex expression showing msquare root of 4
5
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times d to the power of 2 times
a A LaTex expression showing 2d
b A LaTex expression showing {d} to the power of 2
c A LaTex expression showing 3{d} to the power of 3
d A LaTex expression showing 5d
e A LaTex expression showing 4d
f A LaTex expression showing d
6
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times n to the power of 2 times
a A LaTex expression showing 3n
b A LaTex expression showing 6nsquare root of 3
c A LaTex expression showing 5n
d A LaTex expression showing {n} to the power of 2
e A LaTex expression showing 7{n} to the power of 3 square root of 4
f A LaTex expression showing 2n
7
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times c to the power of 2 times
a A LaTex expression showing 5c
b A LaTex expression showing 5{c} to the power of 2 square root of 2
c A LaTex expression showing 4c
d A LaTex expression showing 3c
e A LaTex expression showing 6csquare root of 3
f A LaTex expression showing 3{c} to the power of 3 square root of 4