CBSE BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
MCQ
If $a$ and $b$ are two coprime numbers, then $a^3$ and $b^3$ are
✓
Coprime
B
Not coprime
C
Even
D
Odd
✓
Answer
Correct option: A.
Coprime
(a) As $a$ and $b$ are co-prime then $a^3$ and $b^3$ are also co-prime. We can understand above situation with the help of an example. Let $a=3$ and $b=4$$ a^3=3^3=27 \text { and } b^3=4^3=64 $ Clearly, $\operatorname{HCF}(a, b)=\operatorname{HCF}(3,4)=1$ Then, $\operatorname{HCF}\left(a^3, b^3\right)=\operatorname{HCF}(27,64)=1$
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