Question

Which number is IRRATIONAL? A) 1 3/5 B) √0.65 C) √144 D) 11/22

Answer 1

Hello!

The answer is: B)$\sqrt{0.65}$

Why?

An irrational number is a number which cannot be expressed like a fraction of entire numbers because there is not possible that any fraction can exactly express that number.

Let's discard each option in order to find the irrational number:

A)

$1 + \frac{3}{5}=1.6=\frac{8}{5}$

So, A, is a rational number.

B)

$\sqrt{0.65}=0.806225774829855...$

There is not a fraction of entire numbers that can be written to express that number since it have infinite decimals.

C)

$\sqrt{144}=12$

It's an exact number, so it's a rational number.

D)

$\frac{11}{22}=0.5=\frac{1}{2}$

It's a rational number since it can be written as a fraction of entire numbers.

Have a nice day!

Answer 2

the answer is b. this is because an irrational number goes on infinity in random digits. so if something is square rooted and not a perfect square it's going to be irrational. square root of 144 is 12 and 11/22 is 1/2 while 1 3/5 is 1.6 and the square root of .65 is .8062257 and so on.