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

This math topic involves simplifying radicals where each question presents a division of fractions under a radical sign, requiring learners to employ their skills in radical simplification. The expressions provided involve both square roots and fractional division, with several answer choices in multiple-choice format, which challenge students to determine the simplified form of each radical expression correctly. The learners need to simplify the fractions, divide, and then simplify the radical expressions accurately. This topic is part of a broader unit focused on practicing simplification of radicals.

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

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Radicals - Fraction by Fraction Division to Answer - Fraction Worksheet

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Math worksheet on 'Radicals - Fraction 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 over 10 divided by 40 over 12
a A LaTex expression showing 1
b A LaTex expression showing 2 over 13
c A LaTex expression showing 3 over 5
d A LaTex expression showing 1 over 2
2
What does this radical expression simplify to?
A LaTex expression showing square root of 44 over 42 divided by 28 over 66
a A LaTex expression showing 11 over 7
b A LaTex expression showing 12 over 11
c A LaTex expression showing 5
d A LaTex expression showing 19 over 5
e A LaTex expression showing 3 over 13
3
What does this radical expression simplify to?
A LaTex expression showing square root of 28 over 20 divided by 80 over 112
a A LaTex expression showing 1 over 2
b A LaTex expression showing 4 over 5
c A LaTex expression showing 14 over 13
d A LaTex expression showing 2 over 3
e A LaTex expression showing 7 over 5
4
What does this radical expression simplify to?
A LaTex expression showing square root of 6 over 21 divided by 63 over 18
a A LaTex expression showing 4 over 17
b A LaTex expression showing 1
c A LaTex expression showing 3 over 4
d A LaTex expression showing 2 over 9
e A LaTex expression showing 2 over 7
5
What does this radical expression simplify to?
A LaTex expression showing square root of 44 over 42 divided by 14 over 33
a A LaTex expression showing 13 over 3
b A LaTex expression showing 1
c A LaTex expression showing 23 over 3
d A LaTex expression showing 11 over 7
e A LaTex expression showing 3 over 13
6
What does this radical expression simplify to?
A LaTex expression showing square root of 12 over 9 divided by 48 over 36
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 5
c A LaTex expression showing 1 over 4
d A LaTex expression showing 1
e A LaTex expression showing 2 over 3
7
What does this radical expression simplify to?
A LaTex expression showing square root of 6 over 21 divided by 42 over 27
a A LaTex expression showing 7 over 6
b A LaTex expression showing 1 over 11
c A LaTex expression showing 1 over 14
d A LaTex expression showing 3 over 7
e A LaTex expression showing 1 over 5