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Radicals - Adding and Subtracting - Simplification (Values Only) (Level 5)

This math topic focuses on simplifying radical expressions for subsequent addition and subtraction. It involves various levels and questions that require students to simplify expressions involving square roots, cube roots, and other nth roots before combining them, ensuring that the expressions are in their simplest form to facilitate accurate calculation. This skill is fundamental to higher-level algebra and helps in solving complex equations efficiently by reducing the complexity of radicals.

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

112+112+28\sqrt{112} + \sqrt{112} + \sqrt{28}

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

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Math worksheet on 'Radicals - Adding and Subtracting - Simplification (Values Only) (Level 5)'. 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 112 - square root of 63 + square root of 112
a A LaTex expression showing 7square root of 6 - 3square root of 7 + square root of 9
b A LaTex expression showing 4square root of 7 - 3square root of 7 + 4square root of 10
c A LaTex expression showing 4square root of 3 - square root of 8 + 4square root of 7
d A LaTex expression showing 4square root of 7 - square root of 9 + 5square root of 6
e A LaTex expression showing 4square root of 7 - 3square root of 4 + 4square root of 7
f A LaTex expression showing 4square root of 7 - 3square root of 7 + 4square root of 7
2
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 99 - square root of 176 + square root of 44
a A LaTex expression showing 3square root of 11 - square root of 12 + square root of 14
b A LaTex expression showing 2square root of 9 - 4square root of 11 + 2square root of 11
c A LaTex expression showing square root of 9 - 4square root of 11 + square root of 10
d A LaTex expression showing 3square root of 11 - 4square root of 11 + square root of 13
e A LaTex expression showing 5square root of 8 - 3square root of 7 + 2square root of 11
f A LaTex expression showing 3square root of 11 - 4square root of 11 + 2square root of 11
3
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 125 + square root of 45 + square root of 45
a A LaTex expression showing 5square root of 5 + 3square root of 5 + 3square root of 3
b A LaTex expression showing 5square root of 5 + 3square root of 5 + square root of 5
c A LaTex expression showing 5square root of 5 + 3square root of 5 + 5square root of 8
d A LaTex expression showing 5square root of 5 + 4square root of 3 + 1
e A LaTex expression showing 5square root of 5 + 3square root of 5 + 3square root of 5
f A LaTex expression showing 5square root of 5 + 3square root of 5 + square root of 4
4
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 176 - square root of 275 - square root of 176
a A LaTex expression showing 6square root of 7 - 5square root of 11 - 4square root of 11
b A LaTex expression showing 2square root of 13 - 2square root of 11 - 4square root of 11
c A LaTex expression showing 7square root of 12 - 5square root of 11 - 4square root of 11
d A LaTex expression showing 4square root of 11 - 5square root of 11 - 4square root of 11
e A LaTex expression showing square root of 9 - 5square root of 11 - square root of 10
f A LaTex expression showing 4square root of 11 - 5square root of 11 - 5square root of 11
5
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 44 + square root of 176 - square root of 99
a A LaTex expression showing 2square root of 11 + 2square root of 13 - 6square root of 7
b A LaTex expression showing 2square root of 11 + 4square root of 11 - square root of 13
c A LaTex expression showing 2square root of 11 + 4square root of 11 - 4square root of 8
d A LaTex expression showing 2square root of 11 + 4square root of 8 - 3square root of 11
e A LaTex expression showing 2square root of 11 + 4square root of 11 - 3square root of 11
f A LaTex expression showing square root of 9 + 4square root of 11 - 2square root of 9
6
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 28 - square root of 112 + square root of 112
a A LaTex expression showing 2square root of 6 - 4square root of 7 + 4square root of 7
b A LaTex expression showing 3square root of 6 - 4square root of 7 + 4square root of 7
c A LaTex expression showing 2square root of 7 - 4square root of 3 + 4square root of 7
d A LaTex expression showing 2square root of 7 - 5square root of 6 + 4square root of 7
e A LaTex expression showing 2square root of 7 - 4square root of 7 + 4square root of 7
f A LaTex expression showing 2square root of 7 - square root of 6 + 4square root of 7
7
Simplify the radical expressions to prepare for adding or subtracting
A LaTex expression showing square root of 112 + square root of 112 - square root of 63
a A LaTex expression showing square root of 5 + 4square root of 7 - 3square root of 7
b A LaTex expression showing 4square root of 7 + 4square root of 7 - 3square root of 7
c A LaTex expression showing 2square root of 4 + 4square root of 7 - 3square root of 7
d A LaTex expression showing 4square root of 7 + square root of 5 - square root of 3
e A LaTex expression showing 3square root of 9 + 4square root of 7 - square root of 4
f A LaTex expression showing 4square root of 7 + square root of 7 - 3square root of 7