Division with Common Factor - 2 Terms over 1 Term to Fraction (Level 2)

This math topic focuses on simplifying radical expressions involving division where two terms containing square roots are divided by one term, also containing a square root, and simplified to a fraction. It covers various problems that challenge the understanding and application of simplifying radicals, combining like terms, and fractional expressions involving radicals. The topic provides a number of multi-choice questions, each offering multiple possible answers, thus encouraging the development of skills in simplifying complex radical expressions to their simplest form. These problems are a part of a broader unit focusing on simplifying radicals.

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Radicals - Division with Common Factor - 2 Terms over 1 Term to Fraction Worksheet

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Radicals - Division with Common Factor - 2 Terms over 1 Term to Fraction
1
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 8 + square root of 8}{square root of 50}
a A LaTex expression showing 7 over 3
b A LaTex expression showing 3 over 10
c A LaTex expression showing 4 over 5
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1 over 2
2
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 75 + square root of 27}{square root of 12}
a A LaTex expression showing 16 over 5
b A LaTex expression showing 2
c A LaTex expression showing 4
d A LaTex expression showing 8 over 5
e A LaTex expression showing 16 over 7
3
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 20 + square root of 20}{square root of 125}
a A LaTex expression showing 3
b A LaTex expression showing 6 over 11
c A LaTex expression showing 4 over 5
d A LaTex expression showing 7 over 5
e A LaTex expression showing 1 over 5
4
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 147 + square root of 27}{square root of 147}
a A LaTex expression showing 1
b A LaTex expression showing 7 over 15
c A LaTex expression showing 5 over 7
d A LaTex expression showing 10 over 7
e A LaTex expression showing 1 over 4
5
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 27 + square root of 75}{square root of 147}
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1 over 16
c A LaTex expression showing 8 over 7
d A LaTex expression showing 8 over 13
e A LaTex expression showing 5 over 17
6
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 20 + square root of 20}{square root of 45}
a A LaTex expression showing 7 over 6
b A LaTex expression showing 3 over 2
c A LaTex expression showing 1 over 2
d A LaTex expression showing 4 over 3
e A LaTex expression showing 1 over 7
7
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 75 + square root of 75}{square root of 147}
a A LaTex expression showing 10 over 7
b A LaTex expression showing 17 over 14
c A LaTex expression showing 14 over 3
d A LaTex expression showing 7 over 4
e A LaTex expression showing 7 over 6
8
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 98 + square root of 8}{square root of 18}
a A LaTex expression showing 1 over 2
b A LaTex expression showing 6
c A LaTex expression showing 19 over 5
d A LaTex expression showing 3
e A LaTex expression showing 1