MathMaster Blog

A radical expression is an algebraic expression with radicals. To simplify it, we use the product and quotient rules.

According to the Product Rule, the product of two or more numbers raised to a power equals the product of each number raised to the same power.

The Quotient Rule states that the radical of a quotient is equal to the quotient of the radicals of the numerator and denominator.

Example 1:

Simplify $\sqrt[3]{27x^3}$.

Solution:

Answer: 3x

Example 2:

Simplify $\sqrt{\frac{18a^5}{b^8}}$.

Solution:

Begin by determining the square factors:

Then, here’s what you’ll get:

Answer: $\frac{3a^2\sqrt{2a}}{b^4}$