To rationalize square roots, you look for perfect square factors in the numerator and denominator. By factoring out these perfect square factors, you can write the radical in a form where the radicand is not a perfect square.
For example, to rationalize √12/√3:
√12/√3
Factor a √4 out of the numerator and a √1 out of the denominator:
√4×√3/√1×√3
Simplify the radicals:
2√3/√3
Finally, simplify the fraction:
2
So the rationalized form of √12/√3 is 2.
Related tutorial videos:
Rationalize the Denominator and Simplify With Radicals, Variables, Square Roots, Cube Roots, Algebra
How to rationalize a denominator | Exponent expressions and equations | Algebra I | Khan Academy
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