Multiply Radicals Calculator

Unleash the power of radicals! Effortlessly multiply two radical expressions with this interactive calculator. Visualize each step and get accurate results instantly.

Enter the coefficients and radicands below to begin.

First Radical - Coefficient

First Radical - Radicand

√

Second Radical - Coefficient

Second Radical - Radicand

√

Calculation Result:

Step-by-step Multiplication

Step 1: Identify the coefficients and radicands of both radical expressions.

Step 2: Multiply the coefficients together and the radicands together separately.

Step 3: Combine the products to form the resulting radical expression.

Hover over or tap on steps to highlight corresponding parts in the equations.

Understanding Radical Multiplication

Radicals, denoted by the symbol √, are used to represent roots of numbers. A radical expression consists of two main parts: the coefficient (the number multiplying the radical) and the radicand (the number under the radical symbol).

To multiply two radical expressions, you simply multiply their coefficients together and their radicands together. For example, to multiply \(a\sqrt{b}\) and \(c\sqrt{d}\), the process is as follows:

Multiply the coefficients: \(a \times c\)
Multiply the radicands: \(b \times d\)
Combine them: \((a \times c)\sqrt{(b \times d)}\)

This online calculator streamlines this process, allowing you to input the coefficients and radicands of two radical expressions and instantly compute their product. It's an invaluable tool for students learning algebra and anyone needing to perform quick radical multiplications.

For more in-depth information on radicals and their properties, refer to resources like Wikipedia and Khan Academy.

Explore Radicals on Wikipedia | Learn about Radicals on Khan Academy