Question

Show 7+11root13 is not a rational number​

Answer 1

Answer:

It's not in the form of p upon q

Answer 2

Step-by-step explanation:

rational numbers are those number which can be represented as p/q form were p and g are co-prime and integers

so,

if 7+11√13 is rational it can be written as p/q

therefore

7+11√13=

$\frac{p}{q}$

squaring both side, we get

=>49+121*13=

$\frac{ {p}^{2} }{q {}^{2} }$

=>1622q²=p²

=>2•811•q²=p²

[multiple of 2 is even]

[square of even number is even]

so they both have common factor,

therefore

p and q are not co-prime

so 7+11√13

is not a rational number