Addition Under Squared Radical to Radical (Level 1)

This math topic involves simplifying radicals that include both sum and difference within the radical expression. Students practice the skill of identifying and combining like terms under the radical to simplify the expression to its simplest form. There are several questions provided with multiple choices for answers, allowing students to select the simplest radical form from options. This topic is part of a broader unit aimed at introducing and refining the skills needed to simplify radicals. This includes handling addition or subtraction under the radical sign before simplifying.

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 Radical Worksheet

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Radicals - Addition Under Squared Radical to Radical
1
Simplify the radical.
A LaTex expression showing square root of 45 + 5
a A LaTex expression showing 5square root of 5
b A LaTex expression showing 7
c A LaTex expression showing 5square root of 2
d A LaTex expression showing 1
2
Simplify the radical.
A LaTex expression showing square root of 112 - 13
a A LaTex expression showing 3square root of 11
b A LaTex expression showing 6square root of 7
c A LaTex expression showing square root of 10
d A LaTex expression showing 5square root of 9
e A LaTex expression showing 2square root of 11
3
Simplify the radical.
A LaTex expression showing square root of 75 - 3
a A LaTex expression showing 8
b A LaTex expression showing 7
c A LaTex expression showing 6square root of 2
d A LaTex expression showing 4
e A LaTex expression showing 8square root of 2
4
Simplify the radical.
A LaTex expression showing square root of 10 + 2
a A LaTex expression showing square root of 4
b A LaTex expression showing 2square root of 3
c A LaTex expression showing 4square root of 3
d A LaTex expression showing square root of 5
e A LaTex expression showing 3square root of 2
5
Simplify the radical.
A LaTex expression showing square root of 35 + 28
a A LaTex expression showing square root of 5
b A LaTex expression showing 5square root of 10
c A LaTex expression showing 3square root of 7
d A LaTex expression showing 6square root of 4
e A LaTex expression showing square root of 9
6
Simplify the radical.
A LaTex expression showing square root of 290 - 38
a A LaTex expression showing 9square root of 3
b A LaTex expression showing 6square root of 8
c A LaTex expression showing 6square root of 7
d A LaTex expression showing 8square root of 4
e A LaTex expression showing 9square root of 5
7
Simplify the radical.
A LaTex expression showing square root of 31 + 49
a A LaTex expression showing square root of 3
b A LaTex expression showing square root of 4
c A LaTex expression showing 4square root of 5
d A LaTex expression showing square root of 8
8
Simplify the radical.
A LaTex expression showing square root of 198 + 198
a A LaTex expression showing 5square root of 12
b A LaTex expression showing 5square root of 14
c A LaTex expression showing 8square root of 10
d A LaTex expression showing 3square root of 13
e A LaTex expression showing 6square root of 11