Question

which of the following is irrational a) under root 4 upon 9 b) under root 12 upon under root 3 c) under root 7 d) under root 81​

Answer 1

Step-by-step explanation:

(a)

$\sqrt{ \frac{4}{9} } = \sqrt{ ({ \frac{2}{3}) }^{2} } = \frac{2}{3}$

So it is rational.

(b)

$\frac{ \sqrt{12} }{ \sqrt{3} } = \sqrt{ \frac{12}{3}} = \sqrt{4} = 2$

So it is also rational.

(c) √7 is irrational as it can't be expressed in p/q form.

(d) √81 => 9 so it is also rational.

Hope it helps you.