Question

is 9+4root5 rational or irrational​

Answer 1

Answer:

9+4√5is irrational because √5is (irrational) ir. so r×ir=ir ,r+ir=ir

Answer 2

Answer:it is an irrational no.

Step-by-step explanation:

Let 9+4√5 be a rational no.

So, 9+4√5 =p/q

4√5=p/q-9

√5=1/4(p/q-9)

So as we know that √5 is an irrational no.

Therefore,

Multiplication of rational and irrational is irrational

4√5 is an irrational

Therefore, addition of rational and irrational is irrational

So, 9+4√5 is an irrational no.