Question

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

(Select all that apply.)

(2 points)
Responses

32–√

3 square root of 2

45√

the fraction with numerator 4 and denominator square root of 5

125−−−√

square root of 125

1+5–√

1 plus square root of 5

−5–√

Answer 1

√32; 3√2; √45; 4/√5; √125 (both occurrences); 1 + √5; −√5

Reason: √25 = 5 is rational and nonzero, and a nonzero rational times any irrational is irrational. Each listed number is irrational, so multiplying by 5 gives an irrational.