Example of an irrational number that is less than 2 and greater than 1.5

For this case, the first thing you should do is take into account the irrational number definition.

An irrational number is one that can not be written as the quotient between two whole numbers.

Their number of decimals is unlimited and they are not periodic.

An irrational number within the specified domain is:

π/2 = 1.570796327    

an example of an irrational number that is less than 2 and greater than 1.5 is:

π/2 = 1.570796327  

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this