Question

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

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Solution

## *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

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