Question

4√3+7 is an irrational number

Answer 1

Answer:

yes it is

Step-by-step explanation:

Answer 2

Answer:

YES it is irrational.

And solution is proved below

Step-by-step explanation:

Using CONTRADICTORY METHOD

Let us assume that 4$\sqrt{3}$+7 is p/q where p and q are co-primes and q$\neq$0

Now, 4$\sqrt{3}$ = p/q-7 .... ( Shifting 7 to RHS)

Now $\sqrt{3}$= 1/3 (p/q-7)

= $\sqrt{3}$= (p/4q-7/4)

Since p/q is rational, therefore p/4q is also rational which says that $\sqrt{3}$ is rational.

But as we know $\sqrt{3}$ is irrational, this creates as Contradiction.

Therefore 4$\sqrt{3}$+7 is irrational.

Hence Proved

HOPE IT HELPS YOUU!!