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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Radicals - Addition Under Squared Radical Times Integer To Radical Worksheet

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Radicals - Addition Under Squared Radical Times Integer To Radical
1
Simplify the radical.
A LaTex expression showing 2square root of 31 + 13
a A LaTex expression showing square root of 10
b A LaTex expression showing square root of 9
c A LaTex expression showing 4square root of 11
d A LaTex expression showing 4square root of 9
e A LaTex expression showing 5square root of 9
2
Simplify the radical.
A LaTex expression showing 5square root of 5 + 3
a A LaTex expression showing 11
b A LaTex expression showing 9square root of 5
c A LaTex expression showing 9square root of 3
d A LaTex expression showing 12
e A LaTex expression showing 10square root of 2
3
Simplify the radical.
A LaTex expression showing 2square root of 14 + 14
a A LaTex expression showing 3square root of 6
b A LaTex expression showing 4square root of 6
c A LaTex expression showing square root of 3
d A LaTex expression showing 4square root of 7
e A LaTex expression showing 6square root of 10
4
Simplify the radical.
A LaTex expression showing 5square root of 55 - 10
a A LaTex expression showing 15square root of 5
b A LaTex expression showing 12square root of 5
c A LaTex expression showing 15square root of 3
d A LaTex expression showing 17
e A LaTex expression showing 11square root of 2
5
Simplify the radical.
A LaTex expression showing 4square root of 118 + 62
a A LaTex expression showing 24square root of 5
b A LaTex expression showing 24
c A LaTex expression showing 25square root of 8
d A LaTex expression showing 23square root of 3
e A LaTex expression showing 26square root of 7
6
Simplify the radical.
A LaTex expression showing 2square root of 19 - 1
a A LaTex expression showing 6square root of 2
b A LaTex expression showing 8square root of 4
c A LaTex expression showing 3square root of 2
d A LaTex expression showing 2square root of 2
e A LaTex expression showing 4
7
Simplify the radical.
A LaTex expression showing 3square root of 4 + 4
a A LaTex expression showing 5square root of 4
b A LaTex expression showing 2square root of 3
c A LaTex expression showing 6square root of 4
d A LaTex expression showing 6square root of 2
e A LaTex expression showing 9square root of 4
8
Simplify the radical.
A LaTex expression showing 4square root of 2 + 61
a A LaTex expression showing 13square root of 4
b A LaTex expression showing 12square root of 4
c A LaTex expression showing 12square root of 3
d A LaTex expression showing 14square root of 10
e A LaTex expression showing 12square root of 7