HW: Rationalizing the Denominator

Rationalizing the denominator involves eliminating any square roots or irrational numbers from the denominator of a fraction.

Multiply the numerator and denominator by the square root in the denominator.

$$10\text{√}2$$ .

Rationalize the denominator to get $$\frac{2\text{√}6}{3}$$ .

$$\frac{2\text{√}3x}{x}$$ .

The simplified form is $$\frac{\text{√}10x}{5}$$ .

A rational number is any number that can be expressed as the quotient or fraction of two integers.

The square root of a number is a value that, when multiplied by itself, gives the original number.

Multiply by the conjugate of the denominator.

The conjugate is $$a - b\text{√}c$$ .