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Radicals - 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.

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

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Addition Under Squared Radical Plus Integer to Radical

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Simplify the radical.

1+30+501 + \sqrt{30 + 50}

Radicals - Addition Under Squared Radical Plus Integer to Radical Worksheet

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Math worksheet on 'Radicals - Addition Under Squared Radical Plus Integer to Radical (Level 1)'. 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 189 - 13
a A LaTex expression showing 1 + 7square root of 14
b A LaTex expression showing 1 + 7square root of 10
c A LaTex expression showing 1 + 4square root of 7
d A LaTex expression showing 1 + 4square root of 11
e A LaTex expression showing 1 + 7square root of 8
f A LaTex expression showing 1 + 2square root of 12
2
Simplify the radical.
A LaTex expression showing 1 + square root of 21 + 51
a A LaTex expression showing 1 + 5square root of 3
b A LaTex expression showing 1 + 8
c A LaTex expression showing 1 + 6square root of 5
d A LaTex expression showing 1 + 5
e A LaTex expression showing 1 + 6
f A LaTex expression showing 1 + 6square root of 2
3
Simplify the radical.
A LaTex expression showing 2 + square root of 105 + 20
a A LaTex expression showing 2 + 8square root of 7
b A LaTex expression showing 2 + 6square root of 8
c A LaTex expression showing 2 + 7square root of 7
d A LaTex expression showing 2 + 8square root of 5
e A LaTex expression showing 2 + 5square root of 5
f A LaTex expression showing 2 + 2square root of 8
4
Simplify the radical.
A LaTex expression showing 3 + square root of 317 - 65
a A LaTex expression showing 3 + 6square root of 7
b A LaTex expression showing 3 + 6square root of 6
c A LaTex expression showing 3 + 4square root of 4
d A LaTex expression showing 3 + 8square root of 3
e A LaTex expression showing 3 + 7square root of 7
f A LaTex expression showing 3 + 3square root of 9
5
Simplify the radical.
A LaTex expression showing 2 + square root of 21 - 1
a A LaTex expression showing 2 + square root of 7
b A LaTex expression showing 2 + square root of 4
c A LaTex expression showing 2 + square root of 5
d A LaTex expression showing 2 + 4square root of 8
e A LaTex expression showing 2 + square root of 8
f A LaTex expression showing 2 + 2square root of 5
6
Simplify the radical.
A LaTex expression showing 1 + square root of 29 - 2
a A LaTex expression showing 1 + 6
b A LaTex expression showing 1 + square root of 2
c A LaTex expression showing 1 + square root of 5
d A LaTex expression showing 1 + 2square root of 3
e A LaTex expression showing 1 + square root of 6
f A LaTex expression showing 1 + 3square root of 3
7
Simplify the radical.
A LaTex expression showing 1 + square root of 13 - 1
a A LaTex expression showing 1 + 3
b A LaTex expression showing 1 + 2square root of 3
c A LaTex expression showing 1 + square root of 2
d A LaTex expression showing 1 + 2square root of 5
e A LaTex expression showing 1 + 4square root of 2
f A LaTex expression showing 1 + square root of 3