Question

Which number is irrational? Help

Answer 1

Irrational numbers are numbers that cannot be expressed as fraction.

Answer 2

with integer in both numerator and denominator

Answer 3

So it's not A.

What about B?

Answer 4

Go ahead and simplify B.\[\sqrt{\dfrac{56}{8}} = \sqrt{7}\]

Answer 5

Is \(\sqrt7\) an irrational number?

Answer 6

another feature of rational versus irrational:
if you write a rational number as a decimal, you know what its next decimal is
for example,
\[ \frac{1}{11} = 0.090909... \]
it has 09 repeating forever. But we can write down this pattern.
btw, we show repeating like this
\[ 0.\overline {09} \]

Answer 7

every "root" such as square roots are irrational *except* for "perfect square roots"
such as , for example, sqr(9) = 3 which is rational.
but sqr(8) is irrational