Question

prove that 7+2root3 is irrational ​

Answer 1

Step-by-step explanation:

Let 7 +2√3 is rational

7+2√3 = p/q where q is not equal to 0

2√3=p/q - 7

2√3 = p-7q/q

now p and q are integers so LHS is rational but see on other side RHS is irrational bcse √prime no. is irrational

therefore 7+2√3 is irrational

HOPE IT WILL HELP U

Answer 2

Answer:

7+2root3 is irrational number

Step-by-step explanation:

7+2root3substracting 7+root3    (substraction of two irrational numbers are always irrational)

we get root3 (which is true)

hence proved