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PLEASE ANSWER ASAP! I REALLY NEED THIS ANSWER :( WILL MARK BRAINLIEST!Which sum will be irrational? a) 3+2 b) square root 19 + 7 over 2 c) 18 over 3 + 11 over 10,000 d) -6+(-3.251)

Respuesta :

Answer:

[tex]\huge\boxed{Option \ B}[/tex]

Step-by-step explanation:

1) 3 + 2 = 5       [Since the result is a natural number, it is a rational number]

2) [tex]\sqrt{19} + \frac{7}{2}[/tex]    [ It has a square root that cannot be simplified further so the sum of this is an irrational one ]

3) [tex]\frac{18}{3} + \frac{11}{10000}[/tex]     [The sum of it is rational i.e. in the form of p/q ]

4) -6+ (-3.251) = -6-3.251 = -9.251 [ Since the result is an integer, it is a rational number]

Answer:

[tex]\Huge \boxed{\sqrt{19} +7}[/tex]

Step-by-step explanation:

Rational numbers can be integers, fractions, and whole numbers.

Rational numbers can be expressed as fractions p/q, where p and q are whole numbers.

[tex]3+2=5[/tex]

5 is whole number, it is a rational number.

[tex]\sqrt{19} +7= 11.358899....[/tex]

[tex]\sqrt{19}[/tex] is an irrational number, it cannot be expressed as a fraction p/q, where p and q are whole numbers.

[tex]\displaystyle \frac{18}{3} +\frac{11}{10000} =\frac{60011}{10000}[/tex]

The result is rational, it can be expressed as a fraction p/q, where p and q are whole numbers.

[tex]-6+(-3.251)=-9.251[/tex]

The result is rational, it can be expressed as a fraction p/q, where p and q are whole numbers.