Radicals - Addition Under Squared Radical Times Integer To Radical (Level 1)

This math topic focuses on simplifying radicals that involve addition or subtraction under a squared radical multiplied by an integer to convert it into a simpler radical form. The skills practiced include simplifying expressions containing square roots, converting complex radical expressions into simpler forms, and performing operations inside the radical before simplifying it further to minimal expressions. This topic is intended to enhance understanding of how to manipulate and simplify radicals effectively.

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

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Addition Under Squared Radical Times Integer To Radical

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


Simplify the radical.

3150+1253\sqrt{150 + 125}

Radicals - Addition Under Squared Radical Times Integer To Radical Worksheet

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Math worksheet on 'Radicals - Addition Under Squared Radical Times 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 3square root of 9 + 23
a A LaTex expression showing 15
b A LaTex expression showing 14square root of 3
c A LaTex expression showing 10square root of 2
d A LaTex expression showing 14square root of 4
e A LaTex expression showing 12square root of 2
f A LaTex expression showing 12
2
Simplify the radical.
A LaTex expression showing 2square root of 2 + 25
a A LaTex expression showing 6square root of 3
b A LaTex expression showing 9square root of 4
c A LaTex expression showing 4square root of 3
d A LaTex expression showing 2square root of 6
e A LaTex expression showing 7square root of 6
f A LaTex expression showing 4
3
Simplify the radical.
A LaTex expression showing 4square root of 138 - 26
a A LaTex expression showing 17square root of 6
b A LaTex expression showing 16square root of 7
c A LaTex expression showing 12square root of 7
d A LaTex expression showing 13square root of 7
e A LaTex expression showing 17square root of 8
f A LaTex expression showing 12square root of 6
4
Simplify the radical.
A LaTex expression showing 4square root of 94 + 31
a A LaTex expression showing 20square root of 3
b A LaTex expression showing 21square root of 5
c A LaTex expression showing 20square root of 5
d A LaTex expression showing 20square root of 4
e A LaTex expression showing 18square root of 7
f A LaTex expression showing 16square root of 4
5
Simplify the radical.
A LaTex expression showing 5square root of 58 + 50
a A LaTex expression showing 28square root of 5
b A LaTex expression showing 33square root of 6
c A LaTex expression showing 30square root of 6
d A LaTex expression showing 26
e A LaTex expression showing 30square root of 3
f A LaTex expression showing 26square root of 4
6
Simplify the radical.
A LaTex expression showing 5square root of 41 + 135
a A LaTex expression showing 20square root of 11
b A LaTex expression showing 22square root of 14
c A LaTex expression showing 21square root of 7
d A LaTex expression showing 22square root of 9
e A LaTex expression showing 18square root of 8
f A LaTex expression showing 21square root of 11
7
Simplify the radical.
A LaTex expression showing 3square root of 70 - 7
a A LaTex expression showing 12square root of 8
b A LaTex expression showing 11square root of 6
c A LaTex expression showing 12square root of 3
d A LaTex expression showing 7square root of 9
e A LaTex expression showing 9square root of 7
f A LaTex expression showing 5square root of 8