Question

Find the product of 12−−√
and 56
. What type of number is it? (1 point)
Responses

2.6307 . . . ; an irrational number
2.6307 . . . ; an irrational number

2.8867 . . . ; an irrational number
2.8867 . . . ; an irrational number

4.1569 . . . ; an irrational number
4.1569 . . . ; an irrational number

4.2974 . . . ; an irrational number

Answer 1

√12 × √56 = √(12·56) = √672 = √(16·42) = 4√42 ≈ 25.92296.
Since √42 is irrational, 4√42 is also irrational.