Question

hola mate ☺☺☺
➡ question

write HCF and LCM of the smallest odd composite number and the smallest odd prime number if an old number P divides q² then will it is divided q³ also ?explain



fast give solution properly✔✔✔✔




asker
@manshi

Answer 1

Hey mate ^_^

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Answer:
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Smallest odd prime number is $3.$

Smallest odd composite number is $9.$

Now,

H. C. F. of $(3, 9) = 3$

And,

L. C. M. of $(3, 9) = 9$

As odd number p divides q²,

p is a factor of q² or $\frac{q ^{2} }{p}$gives 0 as a remainder.

So,

q² × q = q³

And,

=> p is a factor of q².

Hence,

It will also be a factor of q² × q.

=> p is a factor of q³.

Therefore,

p will divide q³ also.

So,

If p divides q² then it will also divide $q^n,$ where n is a natural number.

#Be Brainly❤️

Answer 2

hope its very very helpful