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Answer the following in one word, one sentence or as per the exact requirement : (a) Let p and q be two distinct prime numbers. Write HCF (p , q). (b) Fill in the blank space in the statement given below : (i) If p be a prime, then √p is _______number. (ii) If p/q is a rational number then p and q are _____ . (c) √27 is an irrational number. Justify the statement.
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Asked by susrisangita792 | 23 Apr, 2023, 09:05: AM
answered-by-expert Expert Answer
(a) 
As p and q are two distinct prime numbers, there is no common factor other than 1.
So, their HCF is 1.
 
(b)
(i)
If p be a prime, then √p is an irrational number.
 
(ii)
If p/q is a rational number then p and q are non-zero integers.
 
(c)
 
√27 = √33 = 3
So, it is not an irrational number.
Answered by Renu Varma | 23 Apr, 2023, 03:06: PM

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