Divide square rootsRationalize a one-term denominatorRationalize a two-term denominator

### Divide Square Roots

We know that we leveling fractions by removing factors common to the numerator and the denominator. Once we have a fraction with a square root in the numerator, we an initial simplify the square root. Then we can look for common factors.

You are watching: How to divide fractions with square roots . . This is lot easier.

Even despite we have calculators easily accessible nearly everywhere, a portion with a radical in the denominator still have to be rationalized. It is not considered simplified if the denominator includes a square root.

Similarly, a square root is not considered simplified if the radicand includes a fraction.

Simplified Square Roots

A square root is thought about simplified if there are

no perfect-square components in the radicandno fractions in the radicandno square roots in the denominator that a fraction

To rationalize a denominator, we use the building that . Remove typical factors. Simplify: Simplify the denominator Simplify. Simplify: Simplify the denominator. Simplify. Simplify: Multiply the conjugates in the denominator. Simplify the denominator. We leave the numerator in factored form to do it less complicated to look for typical factors after we have actually simplified the denominator.

Simplify: Multiply the conjugates in the denominator. Simplify the denominator. Simplify: Multiply the conjugates in the denominator. Simplify: Multiply the conjugates in the denominator. We execute not square the numerator. In factored form, we deserve to see there are no common factors to remove from the numerator and also denominator.

See more: How To Say Never In French = Ne (Verb) Jamais, Jamais: Never, Ever, Forever

Simplify: Elementary Algebra by OSCRiceUniversity is license is granted under a an imaginative Commons Attribution 4.0 worldwide License, other than where otherwise noted.