Question

Preove that (3+ 5√2) is an irrational number, given
that √2 is an irrational number.



​

Answer 1

Answer:

prove that

$3 + 5 \sqrt{2}$

is an irrational number ?

Step-by-step explanation:

Let us assume that

$3 + 5 \sqrt{2}$

be a rational and have only common factor 1.

let

$3 + 5 \sqrt{2}$

= a/b

$5 \sqrt{2}$

= a/b ‐ 3

$5 \sqrt{2}$

= a- 3b/ b

if a‐3b/b is rational . so

$5 \sqrt{2}$

is also rational.

But it is not possible ,

it is contradiction to our assumption.

so,

$3 + 5 \sqrt{2}$

is an irrational number.

please Mark me as brainliest..