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.

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Radicals - Addition Under Squared Radical to Radical Worksheet

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Math worksheet on 'Radicals - Addition Under Squared Radical to Radical (Level 2)'. Part of a broader unit on 'Radicals - Simplifying Intro' Learn online: app.mobius.academy/math/units/radicals_simplifying_intro/
1
Simplify the radical.
A LaTex expression showing square root of 550 - 50
a A LaTex expression showing 10square root of 7
b A LaTex expression showing 6square root of 4
c A LaTex expression showing 9square root of 2
d A LaTex expression showing 10square root of 5
e A LaTex expression showing 11square root of 6
2
Simplify the radical.
A LaTex expression showing square root of 55 - 7
a A LaTex expression showing 5square root of 3
b A LaTex expression showing 7square root of 4
c A LaTex expression showing 4square root of 3
d A LaTex expression showing 4
e A LaTex expression showing 7
3
Simplify the radical.
A LaTex expression showing square root of 9 + 41
a A LaTex expression showing 6
b A LaTex expression showing 4square root of 4
c A LaTex expression showing 2
d A LaTex expression showing 5square root of 2
4
Simplify the radical.
A LaTex expression showing square root of 564 - 25
a A LaTex expression showing 5square root of 7
b A LaTex expression showing 7square root of 14
c A LaTex expression showing 6square root of 11
d A LaTex expression showing 7square root of 11
e A LaTex expression showing 8square root of 13
5
Simplify the radical.
A LaTex expression showing square root of 126 - 27
a A LaTex expression showing 3square root of 11
b A LaTex expression showing 5square root of 12
c A LaTex expression showing 5square root of 13
d A LaTex expression showing 5square root of 7
e A LaTex expression showing 5square root of 8
6
Simplify the radical.
A LaTex expression showing square root of 380 + 320
a A LaTex expression showing 12square root of 10
b A LaTex expression showing 8square root of 3
c A LaTex expression showing 7square root of 7
d A LaTex expression showing 7square root of 4
e A LaTex expression showing 10square root of 7
7
Simplify the radical.
A LaTex expression showing square root of 370 - 50
a A LaTex expression showing 10square root of 2
b A LaTex expression showing 8
c A LaTex expression showing 8square root of 5
d A LaTex expression showing 4square root of 4
e A LaTex expression showing 11square root of 4