Addition Under Squared Radical Plus Integer to Integer (Level 2)

This math topic focuses on simplifying expressions involving radicals, integers, and basic operations like addition and subtraction. The problems require skills in simplifying square roots and combining them with integers to find the correct mathematical expression. Each question presents a radical expression that needs to be simplified into one of several provided options, involving plain integers or continued radical terms. The overall aim is to enhance understanding and proficiency in manipulating and simplifying radicals, a foundational skill in higher mathematics.

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

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Radicals - Addition Under Squared Radical Plus Integer to Integer Worksheet

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Math worksheet on 'Radicals - Addition Under Squared Radical Plus Integer to Integer (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 1 + square root of 46 + 3
a A LaTex expression showing 8
b A LaTex expression showing 1 + square root of 4
c A LaTex expression showing 9
d A LaTex expression showing 10
2
Simplify the radical.
A LaTex expression showing 1 + square root of 38 + 11
a A LaTex expression showing 1 + square root of 2
b A LaTex expression showing 8
c A LaTex expression showing 1 + square root of 4
d A LaTex expression showing 3
e A LaTex expression showing 11
3
Simplify the radical.
A LaTex expression showing 4 + square root of 20 + 29
a A LaTex expression showing 11
b A LaTex expression showing 4 + square root of 4
c A LaTex expression showing 4 + square root of 2
d A LaTex expression showing 4 + square root of 3
e A LaTex expression showing 9
4
Simplify the radical.
A LaTex expression showing 1 + square root of 40 - 4
a A LaTex expression showing 1 + square root of 5
b A LaTex expression showing 1 + square root of 2
c A LaTex expression showing 1 + square root of 4
d A LaTex expression showing 10
e A LaTex expression showing 7
5
Simplify the radical.
A LaTex expression showing 2 + square root of 2 + 7
a A LaTex expression showing 5
b A LaTex expression showing 2 + square root of 5
c A LaTex expression showing 10
d A LaTex expression showing 2 + square root of 4
6
Simplify the radical.
A LaTex expression showing 3 + square root of 112 - 12
a A LaTex expression showing 10
b A LaTex expression showing 2
c A LaTex expression showing 3 + square root of 3
d A LaTex expression showing 13
e A LaTex expression showing 3 + square root of 5
7
Simplify the radical.
A LaTex expression showing 1 + square root of 10 - 1
a A LaTex expression showing 1 + square root of 5
b A LaTex expression showing 8
c A LaTex expression showing 7
d A LaTex expression showing 4
e A LaTex expression showing 1 + square root of 2