Question

Is √17 \ 4 a rational number?

Answer 1

No that's not a rational number because that number is having root in it. And the numbers which have root are irrational number mostly.

Answer 2

Answer:

yes

that is because....

$\frac{ \sqrt{17} }{4} \\ = \sqrt{17} \times 4$

clearly 4 is rational and an integer

but

we know,

• the root of composite numbers are rational
• the root of prime numbers are irrational.

,17 is a prime number

so, ✓17 makes an irrational number

therefore that makes the whole number irrational