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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Radicals - Fraction by Fraction Division to Answer - Fraction
1
What does this radical expression simplify to?
A LaTex expression showing square root of 10 over 84 divided by 14 over 60
a A LaTex expression showing 5 over 8
b A LaTex expression showing 6 over 17
c A LaTex expression showing 5 over 7
d A LaTex expression showing 2 over 3
e A LaTex expression showing 11 over 9
2
What does this radical expression simplify to?
A LaTex expression showing square root of 14 over 18 divided by 6 over 42
a A LaTex expression showing 13 over 8
b A LaTex expression showing 7 over 3
c A LaTex expression showing 5
d A LaTex expression showing 2 over 7
3
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 2 over 9
b A LaTex expression showing 2 over 7
c A LaTex expression showing 3 over 4
d A LaTex expression showing 4 over 17
e A LaTex expression showing 1
4
What does this radical expression simplify to?
A LaTex expression showing square root of 4 over 20 divided by 20 over 16
a A LaTex expression showing 5 over 8
b A LaTex expression showing 4 over 9
c A LaTex expression showing 2 over 5
d A LaTex expression showing 1 over 6
e A LaTex expression showing 1 over 4
5
What does this radical expression simplify to?
A LaTex expression showing square root of 21 over 44 divided by 132 over 112
a A LaTex expression showing 1 over 5
b A LaTex expression showing 1
c A LaTex expression showing 3 over 2
d A LaTex expression showing 9 over 4
e A LaTex expression showing 7 over 11
6
What does this radical expression simplify to?
A LaTex expression showing square root of 24 over 88 divided by 44 over 12
a A LaTex expression showing 2 over 5
b A LaTex expression showing 3 over 11
c A LaTex expression showing 6 over 23
d A LaTex expression showing 7 over 19
e A LaTex expression showing 1 over 10
7
What does this radical expression simplify to?
A LaTex expression showing square root of 10 over 28 divided by 28 over 40
a A LaTex expression showing 2 over 3
b A LaTex expression showing 7 over 3
c A LaTex expression showing 11 over 13
d A LaTex expression showing 2
e A LaTex expression showing 5 over 7
8
What does this radical expression simplify to?
A LaTex expression showing square root of 6 over 28 divided by 42 over 16
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1 over 6
c A LaTex expression showing 2 over 7
d A LaTex expression showing 3 over 5
e A LaTex expression showing 2 over 5