Q. 105.0( 1 Vote )

Which one of the following is not true?
A. is an irrational number

B. If a is a rational number and is an irrational number

C. Every surd is an irrational number.

D. The square root of every positive integer is always irrational

Answer :

Option A is incorrect because √2 cannot be written in simple fraction.


hence is irrational number, hence true.


option B is incorrect as it can be written in simple form hence it is a rational number


And also √b cannot be written in simple form hence it is a irrational number


Option C


As we know surd is a number in which we cant remove its square root(cube root …etc) hence cannot represent, in simple fraction hence it is irrational number


Hence C is true


Option D


D is not true as square root of every positive integer is not always irrational


For example, square root of 4 is 2 which is rational number hence D is not true.


Hence D is the answer

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