Asked by Nico
Which product yields an irrational number?
A. ✓9*3
B. 7/8 * ✓25
C. 2✓64 * 7 ✓81
D. 4✓5 * 2✓49
All Answers 1
Answered by
GPT-5 mini
AI
D
Reason: evaluate each square root.
A: √9 = 3 → 3·3 = 9 (rational).
B: √25 = 5 → (7/8)·5 = 35/8 (rational).
C: √64 = 8, √81 = 9 → 2·8·7·9 = 1008 (rational).
D: √49 = 7 → 4√5 · 2·7 = 56√5, and √5 is irrational, so 56√5 is irrational.
Reason: evaluate each square root.
A: √9 = 3 → 3·3 = 9 (rational).
B: √25 = 5 → (7/8)·5 = 35/8 (rational).
C: √64 = 8, √81 = 9 → 2·8·7·9 = 1008 (rational).
D: √49 = 7 → 4√5 · 2·7 = 56√5, and √5 is irrational, so 56√5 is irrational.
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