Question

Show that 5+3 root 2 is irrational plss answer

Answer 1

Answer:

the answer is irrational

Step-by-step explanation:

firstly,

assume that 5+3√2 is rational

wkt if a is rational then a=p/q where p and are co primes

now

5+3√2=p/q

p/q-5=3√2

(p-5q)/q=3√2

(p-5q)/3q=√2

wkt √2 is irrational and LHS is rational

rational can not be  irrational

therefore our assumption is wrong that  5+3√2 is rational

5+3√2 is irrational

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