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Radicals - Adding and Subtracting - Simplification (Values Only) (Level 3)

This math topic focuses on the simplification of radical expressions to prepare for addition and subtraction. It forms part of a larger unit introducing radical addition and subtraction. The problems include various tasks where students are required to simplify square roots and combine like terms within radical expressions. Correct simplification is crucial as it facilitates the accurate addition or subtraction of these expressions. Each question presents multiple-choice answers, enhancing understanding and application of simplifying radicals in arithmetic operations.

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

8+18\sqrt{8} + \sqrt{18}

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

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Math worksheet on 'Radicals - Adding and Subtracting - Simplification (Values Only) (Level 3)'. 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 48 - square root of 75
a A LaTex expression showing square root of 6 - 8square root of 6
b A LaTex expression showing 7square root of 2 - 5square root of 3
c A LaTex expression showing 4square root of 6 - 5square root of 3
d A LaTex expression showing 4square root of 3 - 5square root of 3
e A LaTex expression showing 4square root of 3 - 5square root of 4
f A LaTex expression showing square root of 5 - 8square root of 4
2
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 112 - square root of 63
a A LaTex expression showing square root of 4 - 3square root of 7
b A LaTex expression showing 4square root of 7 - 3square root of 7
c A LaTex expression showing 4square root of 7 - 2square root of 9
d A LaTex expression showing 2square root of 5 - 3square root of 7
e A LaTex expression showing 4square root of 7 - 3square root of 10
f A LaTex expression showing square root of 5 - 3square root of 7
3
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 45 + square root of 20
a A LaTex expression showing 3square root of 5 + 2square root of 2
b A LaTex expression showing 3square root of 5 + square root of 8
c A LaTex expression showing 5square root of 6 + 2square root of 5
d A LaTex expression showing square root of 5 + 2square root of 5
e A LaTex expression showing 3square root of 5 + 2square root of 5
f A LaTex expression showing 5square root of 3 + 2square root of 5
4
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 80 - square root of 45
a A LaTex expression showing 4square root of 5 - 3square root of 5
b A LaTex expression showing 4square root of 5 - 5square root of 3
c A LaTex expression showing square root of 6 - 3square root of 5
d A LaTex expression showing 6square root of 7 - square root of 5
e A LaTex expression showing 4square root of 5 - square root of 5
f A LaTex expression showing 2 - 3square root of 5
5
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 28 + square root of 63
a A LaTex expression showing 2square root of 7 + 3square root of 7
b A LaTex expression showing 2square root of 7 + square root of 4
c A LaTex expression showing 2square root of 7 + 4square root of 5
d A LaTex expression showing 2square root of 4 + 3square root of 7
e A LaTex expression showing square root of 8 + 3square root of 7
f A LaTex expression showing square root of 4 + 3square root of 8
6
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 48 - square root of 12
a A LaTex expression showing 4square root of 3 - 5square root of 5
b A LaTex expression showing 4square root of 3 - square root of 5
c A LaTex expression showing 4square root of 3 - 5square root of 3
d A LaTex expression showing 4square root of 3 - 2square root of 3
e A LaTex expression showing 7square root of 6 - 2square root of 3
f A LaTex expression showing 4square root of 3 - 1
7
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 20 - square root of 45
a A LaTex expression showing 2square root of 3 - 3square root of 5
b A LaTex expression showing 2square root of 5 - 4square root of 4
c A LaTex expression showing square root of 5 - 3square root of 5
d A LaTex expression showing 2square root of 5 - 4square root of 6
e A LaTex expression showing 2square root of 5 - 5square root of 6
f A LaTex expression showing 2square root of 5 - 3square root of 5