Question

Simplify radical 80 x ³ y²

. 4x²y² radical 5x
. 5X²Y² radical 4x
5xy radical 4x
4xy radical 5x

Answer 1

Let's simplify the expression radical 80 * x^3 * y^2 step by step:

1. First, simplify the radical 80:

√80 = √(2^4 * 5) = 2^2 * √5 = 4√5

So, the expression becomes 4√5 * x^3 * y^2.

Now, let's multiply this expression with the given options to find the matching one:

- 4x²y² * √5x = 4x²y² * √(5x)

- 5x²y² * √4x = 5x²y² * (2√x)

- 5xy * √4x = 5xy * (2√x)

- 4xy * √5x = 4xy * √(5x)

The expression 4√5 * x^3 * y^2 matches with the option: 4xy * √5x.