Question

prove that 2 + 3 root 3 is an irrational number when it is given that under root 3 is an irrational number​

Answer 1

Answer:

Step-by-step explanation:

Let us assume 2+root is rational then

2+root3=p/q

4+3+4root3=psquarw/qsquare(squaring on both sides)

4root3=psquare-7qsquare/qsquare

Root3 =psquarw-7qsquarw/4qsquare

Root 3 is irrarional

Irrational cannot be equal to the rational

Therefore our assumption is wrong and 2+root3 is irrational

Hope it helps

Answer 2

Answer:

Step-by-step explanation

Hope it helps..