Question

Find the next term of the A.P.

root 3 ,root 12,root 27​

Answer 1

Answer:

$\sqrt{48}$

Step-by-step explanation:

AP: $\sqrt{3}$, $\sqrt{12}$, $\sqrt{27}$ = $\sqrt{3}$, 2$\sqrt{3}$, 3$\sqrt{3}$

a2-a1= 2$\sqrt{3}$-$\sqrt{3\\}$ = $\sqrt{3}$  Thus, d=$\sqrt{3}$

therefore, a4 = 3$\sqrt{3}$+$\sqrt{3}$ = 4$\sqrt{3}$ = $\sqrt{48}$