Question

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)

Answer 1

Answer:

$\Huge \boxed{\sqrt{19} +7}$

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.

$3+2=5$

5 is whole number, it is a rational number.

$\sqrt{19} +7= 11.358899....$

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

$\displaystyle \frac{18}{3} +\frac{11}{10000} =\frac{60011}{10000}$

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

$-6+(-3.251)=-9.251$

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

Answer 2

Answer:

$\huge\boxed{Option \ B}$

Step-by-step explanation:

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

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

3) $\frac{18}{3} + \frac{11}{10000}$     [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]