Question

Simplify the expression. $$\sqrt{3} \cdot \sqrt{8}$$

Short answer

The simplified expression is \(2\sqrt{6}\)

Step-by-step solution

Apply Property of Square Root

The product of the square roots of two numbers is the same as the square root of the product of two numbers. This means \(\sqrt{3} \cdot \sqrt{8}\) can be written as \(\sqrt{3 \cdot 8}\)

Calculate the Product

Now calculate the value of the product to get \(\sqrt{24}\)

Simplify the Square Root

Simplify the expression \(\sqrt{24}\) by finding the perfect squares that divide 24, it becomes \(2\sqrt{6}\)