Radical

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.

more
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

22y2\sqrt{2^2\cdot y^2}

?

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 Practice' Learn online: app.mobius.academy/math/units/radicals_simplifying_practice/
1
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times 2 to the power of 2 times m to the power of 2 times
a A LaTex expression showing 2msquare root of 2
b A LaTex expression showing 6{m} to the power of 3
c A LaTex expression showing 4m
d A LaTex expression showing 2{m} to the power of 3 square root of 4
e A LaTex expression showing 5{m} to the power of 2
f A LaTex expression showing {m} to the power of 3 square root of 4
2
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 d
c A LaTex expression showing 3{d} to the power of 2
d A LaTex expression showing 6{d} to the power of 2
e A LaTex expression showing 3d
f A LaTex expression showing 3dsquare root of 4
3
Simplify the radical
A LaTex expression showing square root of 5 to the power of 2 times y to the power of 2 times
a A LaTex expression showing 5y
b A LaTex expression showing 3y
c A LaTex expression showing {y} to the power of 2
d A LaTex expression showing 3ysquare root of 4
e A LaTex expression showing 4y
f A LaTex expression showing 6y
4
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times y to the power of 2 times
a A LaTex expression showing y
b A LaTex expression showing 5y
c A LaTex expression showing ysquare root of 3
d A LaTex expression showing 2y
e A LaTex expression showing 5{y} to the power of 2
f A LaTex expression showing 4{y} to the power of 3
5
Simplify the radical
A LaTex expression showing square root of 3 to the power of 2 times y to the power of 2 times
a A LaTex expression showing 3y
b A LaTex expression showing y
c A LaTex expression showing 5{y} to the power of 2 square root of 4
d A LaTex expression showing 4{y} to the power of 3
e A LaTex expression showing 2ysquare root of 3
f A LaTex expression showing 4ysquare root of 4
6
Simplify the radical
A LaTex expression showing square root of 2 to the power of 2 times b to the power of 2 times
a A LaTex expression showing 3{b} to the power of 2
b A LaTex expression showing 2b
c A LaTex expression showing 5bsquare root of 4
d A LaTex expression showing {b} to the power of 3 square root of 3
e A LaTex expression showing b
f A LaTex expression showing {b} to the power of 3
7
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 d
b A LaTex expression showing 4d
c A LaTex expression showing {d} to the power of 2
d A LaTex expression showing 3{d} to the power of 3
e A LaTex expression showing 2d
f A LaTex expression showing 5d