Question

What type of number will result from 512⋅16−−√
5
12
⋅
16
?(1 point)
Responses

Irrational, because both factors are irrational.
Irrational, because both factors are irrational.

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

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

Radical, because one factor is a radical.

Answer 1

√512 = √(256·2) = 16√2 (irrational).
√16 = 4 (rational).
Their product = 16√2 · 4 = 64√2, which is irrational.

Answer: Irrational, because one factor is irrational.