Question

7. Show that (+3 + V5)2 is an irrational number.​

Answer 1

Answer:

here we got √5 which is an irrational number hence it is irrational.

Step-by-step explanation:

Let assume that ( 3+√5 ) 2 is rational

then,

step 1.

(3+√5)2×1/2 ...... ( multiplying rational number from rational number is rational )

step 2.

3+√5 -3 ..... ( Subtracting rational number from rational number is rational )

now,

there left √ 5

and √5 is irrational therefore our assumption was wrong

hence (3+√5)2 is irrational