Integer by Fraction Division to Answer - Fraction (Level 2)

This math topic focuses on simplifying radical expressions involving the division of integers by fractions, with the answers also expressed as fractions. As part of a broader unit on radical simplification, it includes several practice problems where students are required to simplify given radical expressions and choose the correct simplified form from multiple options. Each question presents a radical divided by a complex fractional expression, testing the student's ability to handle both roots and rational expressions systematically.

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

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Radicals - Integer by Fraction Division to Answer - Fraction Worksheet

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Math worksheet on 'Radicals - Integer by Fraction Division to Answer - Fraction (Level 2)'. Part of a broader unit on 'Radicals - Simplifying Practice' Learn online: app.mobius.academy/math/units/radicals_simplifying_practice/
1
What does this radical expression simplify to?
A LaTex expression showing square root of 12 divided by 64 over 12
a A LaTex expression showing 2 over 7
b A LaTex expression showing 5 over 6
c A LaTex expression showing 1 over 6
d A LaTex expression showing 3 over 2
e A LaTex expression showing 7 over 4
2
What does this radical expression simplify to?
A LaTex expression showing square root of 28 divided by 72 over 14
a A LaTex expression showing 7 over 3
b A LaTex expression showing 13 over 7
c A LaTex expression showing 4
d A LaTex expression showing 7 over 4
e A LaTex expression showing 5 over 4
3
What does this radical expression simplify to?
A LaTex expression showing square root of 6 divided by 32 over 12
a A LaTex expression showing 7 over 6
b A LaTex expression showing 5 over 6
c A LaTex expression showing 3 over 2
d A LaTex expression showing 3 over 7
e A LaTex expression showing 2 over 5
4
What does this radical expression simplify to?
A LaTex expression showing square root of 6 divided by 484 over 6
a A LaTex expression showing 3 over 11
b A LaTex expression showing 1 over 11
c A LaTex expression showing 2 over 3
d A LaTex expression showing 4 over 11
e A LaTex expression showing 5 over 6
5
What does this radical expression simplify to?
A LaTex expression showing square root of 6 divided by 1,452 over 8
a A LaTex expression showing 5 over 13
b A LaTex expression showing 1 over 4
c A LaTex expression showing 2 over 9
d A LaTex expression showing 1 over 10
e A LaTex expression showing 2 over 11
6
What does this radical expression simplify to?
A LaTex expression showing square root of 6 divided by 81 over 6
a A LaTex expression showing 4 over 5
b A LaTex expression showing 1 over 7
c A LaTex expression showing 3 over 8
d A LaTex expression showing 2 over 3
e A LaTex expression showing 1 over 4
7
What does this radical expression simplify to?
A LaTex expression showing square root of 14 divided by 726 over 21
a A LaTex expression showing 5 over 9
b A LaTex expression showing 1 over 3
c A LaTex expression showing 13 over 11
d A LaTex expression showing 7 over 11
e A LaTex expression showing 2 over 3