What type of number will result from 512⋅ 16−−√??(1 point)

Question

Responses

Radical, because one factor is a radical.
Radical, because one factor is a radical.

Irrational, because one factor is irrational.
Irrational, because one factor is irrational.

Rational, because both numbers are rational.
Rational, because both numbers are rational.

Irrational, because both factors are irrational.

Answer 1

To determine the type of number that results from the expression \(512 \cdot \sqrt{16}\), we first simplify the expression.

1. Evaluate \(\sqrt{16}\): \[\sqrt{16} = 4\]

2. Multiply: \[512 \cdot 4 = 2048\]

Now that we have simplified the expression to \(2048\), we can classify it:

• \(2048\) is a whole number, which is a rational number.

Thus, the correct response is: Rational, because both numbers are rational.