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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Radicals - Addition Under Squared Radical Plus Integer to Integer
1
Simplify the radical.
A LaTex expression showing 3 + square root of 1 + 3
a A LaTex expression showing 8
b A LaTex expression showing 3 + square root of 3
c A LaTex expression showing 3 + square root of 4
d A LaTex expression showing 3 + square root of 2
e A LaTex expression showing 5
2
Simplify the radical.
A LaTex expression showing 3 + square root of 5 - 1
a A LaTex expression showing 5
b A LaTex expression showing 2
c A LaTex expression showing 3 + square root of 4
d A LaTex expression showing 3 + square root of 5
e A LaTex expression showing 7
3
Simplify the radical.
A LaTex expression showing 2 + square root of 2 + 7
a A LaTex expression showing 2 + square root of 5
b A LaTex expression showing 10
c A LaTex expression showing 2 + square root of 4
d A LaTex expression showing 5
4
Simplify the radical.
A LaTex expression showing 1 + square root of 77 - 13
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 3
d A LaTex expression showing 9
5
Simplify the radical.
A LaTex expression showing 4 + square root of 54 - 5
a A LaTex expression showing 2
b A LaTex expression showing 9
c A LaTex expression showing 4 + square root of 2
d A LaTex expression showing 11
e A LaTex expression showing 4 + square root of 5
6
Simplify the radical.
A LaTex expression showing 2 + square root of 9 + 55
a A LaTex expression showing 6
b A LaTex expression showing 4
c A LaTex expression showing 2 + square root of 4
d A LaTex expression showing 2 + square root of 3
e A LaTex expression showing 10
7
Simplify the radical.
A LaTex expression showing 4 + square root of 127 - 27
a A LaTex expression showing 14
b A LaTex expression showing 5
c A LaTex expression showing 4 + square root of 3
d A LaTex expression showing 4 + square root of 5
e A LaTex expression showing 6
8
Simplify the radical.
A LaTex expression showing 3 + square root of 58 - 9
a A LaTex expression showing 8
b A LaTex expression showing 3 + square root of 2
c A LaTex expression showing 10
d A LaTex expression showing 3 + square root of 4