Addition Under Squared Radical Times Integer To Radical (Level 2)

This math topic involves practicing the simplification of radicals, encompassing addition under a squared radical multiplied by an integer, then simplified to a single radical. The exercises cover different complexities involving numerical and radical components that are to be combined and simplified into their simplest forms. It provides multiple-choice questions where learners select the correct simplified expression from several options. This set of problems is designed to enhance understanding of manipulating and simplifying radicals.

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 4square root of 59 - 11
a A LaTex expression showing 16square root of 3
b A LaTex expression showing 12square root of 3
c A LaTex expression showing 19square root of 5
d A LaTex expression showing 15square root of 6
e A LaTex expression showing 15
2
Simplify the radical.
A LaTex expression showing 3square root of 33 + 212
a A LaTex expression showing 21square root of 5
b A LaTex expression showing 17square root of 4
c A LaTex expression showing 24square root of 6
d A LaTex expression showing 18square root of 3
e A LaTex expression showing 19
3
Simplify the radical.
A LaTex expression showing 5square root of 13 - 1
a A LaTex expression showing 10square root of 3
b A LaTex expression showing 7square root of 4
c A LaTex expression showing 8square root of 6
d A LaTex expression showing 8square root of 3
e A LaTex expression showing 8square root of 4
4
Simplify the radical.
A LaTex expression showing 4square root of 14 - 2
a A LaTex expression showing 8square root of 3
b A LaTex expression showing 11square root of 5
c A LaTex expression showing 8
d A LaTex expression showing 7
e A LaTex expression showing 5square root of 3
5
Simplify the radical.
A LaTex expression showing 5square root of 94 + 473
a A LaTex expression showing 42square root of 5
b A LaTex expression showing 45square root of 7
c A LaTex expression showing 47square root of 7
d A LaTex expression showing 46square root of 10
e A LaTex expression showing 44square root of 5
6
Simplify the radical.
A LaTex expression showing 4square root of 473 - 25
a A LaTex expression showing 29square root of 9
b A LaTex expression showing 30square root of 8
c A LaTex expression showing 34square root of 10
d A LaTex expression showing 30square root of 5
e A LaTex expression showing 32square root of 7
7
Simplify the radical.
A LaTex expression showing 2square root of 154 + 385
a A LaTex expression showing 14square root of 11
b A LaTex expression showing 10square root of 9
c A LaTex expression showing 16square root of 14
d A LaTex expression showing 15square root of 8
e A LaTex expression showing 12square root of 9
8
Simplify the radical.
A LaTex expression showing 5square root of 75 - 12
a A LaTex expression showing 15square root of 4
b A LaTex expression showing 11square root of 3
c A LaTex expression showing 15square root of 7
d A LaTex expression showing 15square root of 5
e A LaTex expression showing 15square root of 9