Addition Under Squared Radical to Radical (Level 2)

These math problems focus on the skill of simplifying radicals involving addition or subtraction under a squared radical, converting them into a simpler radical form. It touches on recognizing how to combine and simplify radicals and radical expressions effectively. This topic forms part of a broader introduction to simplifying radicals. Each question provides a radical expression and asks to simplify it, offering multiple choice answers. These skills are crucial for understanding properties of exponents and roots in algebra.

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

more
View

Radicals - Addition Under Squared Radical to Radical Worksheet

Mobius Math Academy logo
Radicals - Addition Under Squared Radical to Radical
1
Simplify the radical.
A LaTex expression showing square root of 181 + 11
a A LaTex expression showing 10square root of 2
b A LaTex expression showing 6square root of 4
c A LaTex expression showing 5
d A LaTex expression showing 8square root of 3
e A LaTex expression showing 9square root of 3
2
Simplify the radical.
A LaTex expression showing square root of 234 - 54
a A LaTex expression showing 6square root of 7
b A LaTex expression showing 6square root of 5
c A LaTex expression showing 2square root of 5
d A LaTex expression showing 5square root of 5
e A LaTex expression showing 3square root of 2
3
Simplify the radical.
A LaTex expression showing square root of 25 + 220
a A LaTex expression showing 7square root of 5
b A LaTex expression showing 8square root of 3
c A LaTex expression showing 7square root of 6
d A LaTex expression showing 9square root of 8
e A LaTex expression showing 6square root of 8
4
Simplify the radical.
A LaTex expression showing square root of 216 - 40
a A LaTex expression showing 3square root of 7
b A LaTex expression showing square root of 9
c A LaTex expression showing square root of 8
d A LaTex expression showing 3square root of 10
e A LaTex expression showing 4square root of 11
5
Simplify the radical.
A LaTex expression showing square root of 380 + 320
a A LaTex expression showing 7square root of 7
b A LaTex expression showing 7square root of 4
c A LaTex expression showing 8square root of 3
d A LaTex expression showing 10square root of 7
e A LaTex expression showing 12square root of 10
6
Simplify the radical.
A LaTex expression showing square root of 98 + 10
a A LaTex expression showing 6square root of 3
b A LaTex expression showing 9square root of 2
c A LaTex expression showing 9square root of 6
d A LaTex expression showing 5square root of 4
7
Simplify the radical.
A LaTex expression showing square root of 87 + 60
a A LaTex expression showing 3square root of 6
b A LaTex expression showing 6square root of 5
c A LaTex expression showing 4
d A LaTex expression showing 7square root of 3
8
Simplify the radical.
A LaTex expression showing square root of 5 + 15
a A LaTex expression showing square root of 6
b A LaTex expression showing square root of 2
c A LaTex expression showing square root of 7
d A LaTex expression showing 2square root of 5
e A LaTex expression showing 3square root of 3