Addition Under Squared Radical Plus Integer to Radical (Level 1)

This math topic focuses on simplifying radicals involving addition under a squared radical plus an integer. Students practice identifying and simplifying expressions to their simplest form. Problems involve expressions containing a radical term next to an integer, which requires combining like terms and potentially further simplification depending on the square root's solvability. The aim is to enhance understanding of radical expressions and their properties within algebra, which is part of a broader introduction to simplifying radicals.

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Radicals - Addition Under Squared Radical Plus Integer to Radical Worksheet

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Radicals - Addition Under Squared Radical Plus Integer to Radical
1
Simplify the radical.
A LaTex expression showing 1 + square root of 20 + 30
a A LaTex expression showing 1 + 8square root of 4
b A LaTex expression showing 1 + 5
c A LaTex expression showing 1 + 5square root of 2
d A LaTex expression showing 1 + 4square root of 4
e A LaTex expression showing 1 + 7square root of 3
2
Simplify the radical.
A LaTex expression showing 1 + square root of 94 - 19
a A LaTex expression showing 1 + 8square root of 3
b A LaTex expression showing 1 + 7square root of 5
c A LaTex expression showing 1 + 6square root of 3
d A LaTex expression showing 1 + 5square root of 3
e A LaTex expression showing 1 + 8
3
Simplify the radical.
A LaTex expression showing 2 + square root of 34 - 7
a A LaTex expression showing 2 + 3square root of 3
b A LaTex expression showing 2 + square root of 6
c A LaTex expression showing 2 + 4
d A LaTex expression showing 2 + 5
4
Simplify the radical.
A LaTex expression showing 2 + square root of 119 - 20
a A LaTex expression showing 2 + 3square root of 11
b A LaTex expression showing 2 + square root of 7
c A LaTex expression showing 2 + 4square root of 9
d A LaTex expression showing 2 + 5square root of 11
e A LaTex expression showing 2 + 2square root of 7
5
Simplify the radical.
A LaTex expression showing 3 + square root of 47 + 3
a A LaTex expression showing 3 + 5square root of 2
b A LaTex expression showing 3 + 5square root of 5
c A LaTex expression showing 3 + 3
d A LaTex expression showing 3 + 8
6
Simplify the radical.
A LaTex expression showing 2 + square root of 18 + 10
a A LaTex expression showing 2 + square root of 8
b A LaTex expression showing 2 + 2square root of 5
c A LaTex expression showing 2 + 3square root of 6
d A LaTex expression showing 2 + 2square root of 7
e A LaTex expression showing 2 + square root of 10
7
Simplify the radical.
A LaTex expression showing 2 + square root of 62 - 14
a A LaTex expression showing 2 + 3square root of 3
b A LaTex expression showing 2 + 5
c A LaTex expression showing 2 + 4square root of 3
d A LaTex expression showing 2 + 7square root of 2
e A LaTex expression showing 2 + square root of 6
8
Simplify the radical.
A LaTex expression showing 4 + square root of 55 - 7
a A LaTex expression showing 4 + 2square root of 3
b A LaTex expression showing 4 + 4square root of 3
c A LaTex expression showing 4 + square root of 4
d A LaTex expression showing 4 + 2