Question

Select all numbers that will produce an IRRATIONAL number when multiplied by 25–√
.

(Select all that apply.)

(2 points)
Responses

1+5–√

1 plus square root of 5

32–√

3 square root of 2

−5–√

negative square root of 5

125−−−√

square root of 125

45√

Answer 1

√25 = 5 (a nonzero rational). A nonzero rational times an irrational is always irrational, so every irrational choice will give an irrational product.

All five choices are irrational:
- 1 + √5 (irrational)
- 3√2 (irrational)
- −√5 (irrational)
- √125 = 5√5 (irrational)
- √45 = 3√5 (irrational)

Therefore select all five.