Question

Simplify the given number and find whether it is rational or irrational. ​

Answer 1

Step-by-step explanation:

solution:-

$\frac{2}{3} \sqrt{ \frac{144}{64} }$

we have to find it is rational or irrational

so we know:-

144 is square root of 12 and 64 is square root of 8

$\frac{2}{3} \sqrt{ \frac{144}{64} } \\ \frac{2}{3} \sqrt{ \frac{(12) {}^{2} }{(8) {}^{2} } }$

now square and root we will be cancel

$\frac{2}{3} \times \frac{12}{8} \\ \frac{4}{4} \\ = 1$

answer :-

thus this is rational number