Question

prove that 8+root 5 is irrational​

Answer 1

Answer:

8 aur under root 5 kisi ka root nhi h That's why 8 plus under root five is a irrational number

Answer 2

Answer:

no

Step-by-step explanation:

lets assume that

\sqrt{8} + 5

8

+5

is a rational no.

therefore it can be represented in the p/q form where p and q are co-primes

\begin{gathered} \sqrt{8} + 5 = \frac{x}{y} \\ \sqrt{8} = \frac{x - 5y}{y} \end{gathered}

8

+5=

y

x

8

=

y

x−5y

here

\sqrt{8} \: is \: not \: a \: rational \: no. \: but \: \frac{x - 5y}{y} \: is \: a \: rational \: no.

8

isnotarationalno.but

y

x−5y

isarationalno.

therefore our assumption was wrong

therefore

\sqrt{8} + 5 \: is \: an \: irrational \: no.

8

+5isanirrationalno.