Number systems 1

Question 1

What is the fundamental theorem of arithmetic ?

Answer 1

Every composite number can be expressed as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur.

Question 2

Theorem 1.2

Answer 2

Let p be a prime number. If p divides a^2
, then p divides a, where a is a positive integer.

Question 3

HCF x LCM

Answer 3

Product of the numbers

Question 4

Is LCM always divisible by HCF

Answer 4

Yes

Question 5

HCF [a,b] = LCM [a,b]

Answer 5

a=b

Question 6

formula for rational and irrational ?

Answer 6

I + R = I
I x R = I
R x R = R
R + R = R
sum of 2 irrational may or may not be irrational