Question

Q.5
Which of the following
is an irrational number?
a)square root 64
b)square root 10
c)square root 0
d)square root -25/4

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Answer 1

Answer:

option c square root 10 is irriational number

Answer 2

Answer:

Rational number: number that can be represented as the quotient p/q of two integers such that q ≠ 0.

Irrational Number: any real number that cannot be expressed as the quotient of two integers

a. √64= 8

Hecne it is rational number

b. √10= 2×5 has no square factors. So √10 is not simplifiable. √10≈ 3.1662. It is irrational number.

c. 0 is an integer and all integers are rational numbers. Rational Number - A number (a) is said to be rational if a=p/q for some p belonging to integer and q belonging to integer - {0}

We can write 0 as 0/1, 0/2, 0/3 where 0 belongs to Z and 1,2,3 or any number belongs to Z - {0}, where Z is set of integers.

Hence 0 is a rational number.

d. √-25/4 = -5/2

Hence it is a rational number.