Question

Check whether (√3+2)^2 is rational or irrational

Answer 1

*In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
*An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.
now we expand
(√3+2)^2
=3+(2*√3*2)+4= 7+4√3
and we know
f we take the sum of an irrational number and a rational number, the resultant will be irrational
so this number is urrational