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Radicals - Adding and Subtracting - Simplification (Values Only) (Level 2)

This math topic focuses on practicing the simplification of radical expressions to prepare them for addition and subtraction. The skills covered include identifying and combining like radicals, simplifying square roots, and performing basic arithmetic operations with simplified radicals. Through a series of questions, learners are presented with various radical expressions requiring simplification before they can be added or subtracted, enhancing their understanding of radical terms and the rules governing their manipulation.

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

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Adding and Subtracting - Simplification (Values Only)

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

Simplify the radical expressions to prepare for adding or subtracting

20−5\sqrt{20} - \sqrt{5}

Radicals - Adding and Subtracting - Simplification (Values Only) Worksheet

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Math worksheet on 'Radicals - Adding and Subtracting - Simplification (Values Only) (Level 2)'. Part of a broader unit on 'Radicals - Addition and Subtraction Intro' Learn online: app.mobius.academy/math/units/radicals_addition_and_subtraction_intro/
1
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 2 - square root of 8
a A LaTex expression showing 2 - 2square root of 2
b A LaTex expression showing square root of 2 - square root of 4
c A LaTex expression showing square root of 3 - 2square root of 2
d A LaTex expression showing 1 - 2square root of 2
e A LaTex expression showing square root of 2 - 2square root of 2
f A LaTex expression showing square root of 2 - 1
2
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 2 + square root of 32
a A LaTex expression showing square root of 2 + 3
b A LaTex expression showing square root of 3 + 4square root of 2
c A LaTex expression showing square root of 2 + 4
d A LaTex expression showing 1 + 4square root of 2
e A LaTex expression showing square root of 2 + 4square root of 2
f A LaTex expression showing square root of 2 + 2square root of 3
3
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 63 - square root of 7
a A LaTex expression showing 3square root of 7 - square root of 7
b A LaTex expression showing 3square root of 7 - square root of 5
c A LaTex expression showing 3square root of 7 - 4square root of 5
d A LaTex expression showing square root of 4 - square root of 7
e A LaTex expression showing square root of 3 - square root of 7
f A LaTex expression showing 4square root of 10 - 3square root of 7
4
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 3 + square root of 27
a A LaTex expression showing 3square root of 6 + 3square root of 3
b A LaTex expression showing 1 + 3square root of 3
c A LaTex expression showing square root of 3 + 3square root of 3
d A LaTex expression showing square root of 3 + square root of 2
e A LaTex expression showing 1 + square root of 6
f A LaTex expression showing square root of 3 + square root of 3
5
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 11 - square root of 44
a A LaTex expression showing square root of 11 - 2square root of 13
b A LaTex expression showing square root of 7 - 2square root of 11
c A LaTex expression showing square root of 11 - 3square root of 14
d A LaTex expression showing square root of 11 - 2square root of 11
e A LaTex expression showing 2square root of 8 - 2square root of 11
f A LaTex expression showing 4square root of 10 - 3square root of 9
6
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 27 + square root of 3
a A LaTex expression showing 3square root of 3 + square root of 3
b A LaTex expression showing 3square root of 3 + 4
c A LaTex expression showing 6square root of 2 + square root of 3
d A LaTex expression showing 3square root of 3 + 1
e A LaTex expression showing 4square root of 5 + square root of 3
f A LaTex expression showing 2square root of 5 + square root of 3
7
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 5 + square root of 125
a A LaTex expression showing 4square root of 4 + 5square root of 5
b A LaTex expression showing square root of 6 + 3square root of 2
c A LaTex expression showing 3square root of 3 + 3square root of 3
d A LaTex expression showing square root of 5 + 5square root of 5
e A LaTex expression showing 3square root of 2 + 5square root of 5
f A LaTex expression showing 2square root of 2 + 5square root of 5