Question

Find the product of 15−−√
and 34
. What type of number is it?(1 point)
Responses

3.3541…;a rational number
3.3541…;a rational number

3.3541…;an irrational number
3.3541…;an irrational number

2.9047…;a rational number
2.9047…;a rational number

2.9047…;an irrational number

Answer 1

Interpreting "34" as 3/4, the product is (3/4)·√15 ≈ 0.75·3.8729833 = 2.9047375… Since √15 is irrational (15 is not a perfect square) and a nonzero rational times an irrational is irrational, the product is an irrational number.