Question

prove that 3/2√5 is irrational.
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Answer 1

Answer:

$\frac{3}{2} \sqrt{5}$ is indeed an irrational number

Step-by-step explanation:

$\frac{3}{2} \sqrt{5}$ = $\frac{3\sqrt{5} }{2}$

      = 3.3541019662

For a number to be rational, the number must be able to be converted into fractions. However, 3.3541019662 cannot be converted into fractions, and therefore $\frac{3}{2} \sqrt{5}$ is NOT a rational number.

$\frac{3}{2} \sqrt{5}$ is an irrational number.

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