Mulitplying a radical expression to simplify ex 13, 5root(2x) . 3root(8x)

The video tutorial demonstrates how to simplify a radical expression by first breaking down the expression into simpler components. The instructor explains the process of rewriting the expression using square numbers and then multiplying the simplified terms. The tutorial concludes with a step-by-step guide to achieving the final simplified form of the radical expression.

What is the first step in simplifying the expression sqrt(8X)?

• Rewrite sqrt(8X) as sqrt(4 * 2 * X)

• Add the radicands together

• Divide the expression by 2

• Multiply the constants outside the radicals

Why is sqrt(4) rewritten as 2 in the simplification process?

• Because 4 is a prime number

• Because 4 is a factor of 8

• Because 4 is a square number

• Because 4 is an even number

After rewriting sqrt(8X) as 2 times sqrt(2X), what is the next step?

• Multiply the constants outside the radicals

• Add the constants together

• Divide the expression by 2

• Subtract the radicands

What is the result of multiplying 5 times sqrt(2X) by 3 times 2 times sqrt(2X)?

• 15 times sqrt(4X)

• 30 times sqrt(2X)

• 6 times sqrt(2X)

• 30 times 2X

How is the expression 2X times 2X simplified in the final step?

• As 2X

• As 2X squared

• As 4X

• As 4X squared