Addition Under Squared Radical to Integer (Level 1)

This math topic focuses on practicing the simplification of radicals, specifically converting expressions under squared radicals to integer form or simpler radical forms. It forms part of a broader unit on introductory radical simplification. The specific skill tested includes combining and simplifying terms under the radical sign to achieve a more elementary expression, utilizing knowledge of properties of square roots and arithmetic operations. Various problems provided challenge the learner to find the simplest form of given radical expressions.

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

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Radicals - Addition Under Squared Radical to Integer Worksheet

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Radicals - Addition Under Squared Radical to Integer
1
Simplify the radical.
A LaTex expression showing square root of 3 + 13
a A LaTex expression showing 2
b A LaTex expression showing 5square root of 2
c A LaTex expression showing 6
d A LaTex expression showing square root of 2
e A LaTex expression showing 4
2
Simplify the radical.
A LaTex expression showing square root of 3 + 6
a A LaTex expression showing 5square root of 3
b A LaTex expression showing 6
c A LaTex expression showing 1
d A LaTex expression showing 3
3
Simplify the radical.
A LaTex expression showing square root of 37 - 1
a A LaTex expression showing 7
b A LaTex expression showing 6
c A LaTex expression showing 7square root of 4
d A LaTex expression showing 4square root of 3
e A LaTex expression showing 3
4
Simplify the radical.
A LaTex expression showing square root of 10 - 1
a A LaTex expression showing 5square root of 2
b A LaTex expression showing 1
c A LaTex expression showing 3
d A LaTex expression showing 2
e A LaTex expression showing 5
5
Simplify the radical.
A LaTex expression showing square root of 1 + 8
a A LaTex expression showing square root of 4
b A LaTex expression showing 3
c A LaTex expression showing 4square root of 2
d A LaTex expression showing 4
e A LaTex expression showing 1
6
Simplify the radical.
A LaTex expression showing square root of 32 - 7
a A LaTex expression showing 7
b A LaTex expression showing 7square root of 3
c A LaTex expression showing square root of 4
d A LaTex expression showing 2square root of 2
e A LaTex expression showing 5
7
Simplify the radical.
A LaTex expression showing square root of 20 - 4
a A LaTex expression showing 6
b A LaTex expression showing 3
c A LaTex expression showing 3square root of 3
d A LaTex expression showing 7
e A LaTex expression showing 4
8
Simplify the radical.
A LaTex expression showing square root of 19 - 3
a A LaTex expression showing 6
b A LaTex expression showing 2
c A LaTex expression showing 4
d A LaTex expression showing 7