Addition Under Squared Radical to Integer (Level 2)

This math topic focuses on practicing simplification of radicals involving the addition under a square root and transforming it into an integer or a simpler radical form. It's designed for learners to strengthen their understanding of simplifying square roots of algebraic and numeric expressions. The problems involve various operations under the radical before simplification and various answer choices illustrating different simplified forms of the initial expressions. This is part of a broader unit on introductory radical simplification techniques.

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

more
View

Radicals - Addition Under Squared Radical to Integer Worksheet

Mobius Math Academy logo
Radicals - Addition Under Squared Radical to Integer
1
Simplify the radical.
A LaTex expression showing square root of 12 + 37
a A LaTex expression showing 8
b A LaTex expression showing 7
c A LaTex expression showing 5
d A LaTex expression showing 6square root of 4
e A LaTex expression showing 5square root of 3
2
Simplify the radical.
A LaTex expression showing square root of 22 + 14
a A LaTex expression showing 6
b A LaTex expression showing 8square root of 4
c A LaTex expression showing 3square root of 2
d A LaTex expression showing 8
e A LaTex expression showing 3
3
Simplify the radical.
A LaTex expression showing square root of 54 - 5
a A LaTex expression showing 10
b A LaTex expression showing 4
c A LaTex expression showing 9
d A LaTex expression showing 7
e A LaTex expression showing 9square root of 2
4
Simplify the radical.
A LaTex expression showing square root of 3 + 22
a A LaTex expression showing 5
b A LaTex expression showing 3
c A LaTex expression showing 1
d A LaTex expression showing 4square root of 2
5
Simplify the radical.
A LaTex expression showing square root of 78 - 14
a A LaTex expression showing 4
b A LaTex expression showing 8
c A LaTex expression showing 11
d A LaTex expression showing 11square root of 2
e A LaTex expression showing 10
6
Simplify the radical.
A LaTex expression showing square root of 50 - 1
a A LaTex expression showing 7square root of 4
b A LaTex expression showing 7
c A LaTex expression showing 10square root of 2
d A LaTex expression showing 8square root of 4
e A LaTex expression showing 3
7
Simplify the radical.
A LaTex expression showing square root of 111 - 11
a A LaTex expression showing 6
b A LaTex expression showing 9
c A LaTex expression showing 10
d A LaTex expression showing 8
e A LaTex expression showing 8square root of 3
8
Simplify the radical.
A LaTex expression showing square root of 63 - 14
a A LaTex expression showing 10
b A LaTex expression showing 4
c A LaTex expression showing 4square root of 4
d A LaTex expression showing 7