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

This math topic focuses on simplifying radicals, specifically involving the division of two terms over one term with a common radical factor, and then expressing the result as a fraction. Each problem presents a radical expression in the form of a fraction, where the numerator contains two terms (each under a radical), and the denominator contains one term under a radical. The exercises involve identifying the correct simplified form from multiple choices provided. These problems help enhance skills in manipulating and simplifying expressions involving square roots, a crucial aspect of algebra.

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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 18 + square root of 8}{square root of 98}
a A LaTex expression showing 2
b A LaTex expression showing 5 over 3
c A LaTex expression showing 11 over 17
d A LaTex expression showing 5 over 7
e A LaTex expression showing 3 over 2
2
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 28 + square root of 28}{square root of 63}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 6
d A LaTex expression showing 2 over 5
e A LaTex expression showing 4 over 3
3
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 75 + square root of 27}{square root of 27}
a A LaTex expression showing 1 over 7
b A LaTex expression showing 4 over 3
c A LaTex expression showing 4
d A LaTex expression showing 8 over 3
e A LaTex expression showing 15 over 7
4
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 20 + square root of 20}{square root of 20}
a A LaTex expression showing 3 over 2
b A LaTex expression showing 1 over 6
c A LaTex expression showing 2 over 5
d A LaTex expression showing 2
e A LaTex expression showing 1 over 5
5
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 99 + square root of 44}{square root of 44}
a A LaTex expression showing 10 over 3
b A LaTex expression showing 2
c A LaTex expression showing 5 over 2
d A LaTex expression showing 4 over 3
e A LaTex expression showing 2 over 5
6
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 50 + square root of 18}{square root of 50}
a A LaTex expression showing 1 over 2
b A LaTex expression showing 11 over 10
c A LaTex expression showing 5 over 6
d A LaTex expression showing 8 over 5
e A LaTex expression showing 1
7
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 45 + square root of 45}{square root of 20}
a A LaTex expression showing 3
b A LaTex expression showing 1
c A LaTex expression showing 9 over 4
d A LaTex expression showing 11 over 3
8
What does this radical expression simplify to?
A LaTex expression showing \frac{square root of 27 + square root of 27}{square root of 12}
a A LaTex expression showing 1 over 2
b A LaTex expression showing 3
c A LaTex expression showing 4 over 7
d A LaTex expression showing 1
e A LaTex expression showing 12 over 5