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Irrational Numbers on the Number Line

√p will alway...

Question

$\sqrt{p}$ will always be an irrational number for any value of $p$ .

A

True

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B

False

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Solution

The correct option is B False

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Similar questions

Prove that for any prime positive integer p , √p is an irrational number.

Q. Question 4
The product of any two irrational numbers is

A) Always an irrational number
B) Always a rational number
C) Always an integer
D) Sometimes rational, sometimes irrational

p

q

are two distinct irrational numbers, then which of the following is always is an irrational number

Which one of the following is correct and which one is not correct? Give reasons.

1) If 'a' is a rational number and 'b' is irrational, then a+b is irrational.

2) The product of a non-profit rational number with an irrational number is always irrational.

3) Addition of any two irrational numbers can be rational.

4) Division of any two integers is an integer.

Q. Which one of the following statements is true?
(a) The sum of two irrational numbers is always an irrational number
(b) The sum of two irrational numbers is always a rational number
(c) The sum of two irrational numbers may be a rational number or an irrational number
(d) The sum of two irrational numbers is always an integer

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