Question

find the irrational number(s) lying between
$- 2.56 \: and \: 4.89$
​

Answer 1

Step-by-step explanation:

√7is the irrational number lying between 2.56 and 4.89

Answer 2

Answer:

The irrational numbers lying between 2.56 and 4.89 are √7,√8, √10, √11 and so on.

Step-by-step explanation:

As per the question,

We know that,

Irrational number is defined as the number having infinite digit after decimal point that means the number which can not be expressed in the form of ratio of integers.

Given numbers we have been provided are 2.56 and 4.89.

Since we know that there are infinite number exist between any two numbers,some are rational and some are irrational.

Some of the irrational numbers lying between these two numbers are

√7 = 2.64575131

√8 = 2.82842712

√10 = 3.1622776

√11 =3.31662479

√12 =3.46410162

Hence , the irrational numbers lying between 2.56 and 4.89 are √7,√8, √10, √11 and so on.