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

This math topic involves simplifying radical expressions which appear as ratios involving sums of square roots in both the numerator and the denominator. The problems require finding common factors and practicing the manipulation of surds to simplify the expressions into fractional forms. Each question includes multiple-choice answers, enhancing students' ability to solve and choose among potential simplifications of radical expressions involving terms like the square roots of numbers such as 8, 18, 20, 45, 50, and 98. This forms part of a broader unit focused on simplifying radicals.

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

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Division with Common Factor - 2 Terms over 2 Terms to Fraction

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What does this radical expression simplify to?

12+2727+75\frac{\sqrt{12} + \sqrt{27}}{\sqrt{27} + \sqrt{75}}

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