Question

Find the common difference of the ap root 3 root 12 root 27 root 48

Answer 1

Answer:

Step-by-step explanation:

AP:√3,√12,√27,√48

SO,AP is √3, 2√3, 3√3, 4√3

d = 2√3-√3

= √3

It's done

Answer 2

Answer:

$Common\: difference \: in \: given \: A.P \:(d) \\= \sqrt{3}$

Step-by-step explanation:

$Given \: A.P : \sqrt{3},\sqrt{12},\sqrt{27},\sqrt{48},..$

______________________

$i)\sqrt{12}\\ =\sqrt{(2\times 2)\times 3} \\= 2\sqrt{3}$

$ii)\sqrt{27}\\=\sqrt{(3\times 3)\times 3}\\=3\sqrt{3}$

$iii)\sqrt{48}\\=\sqrt{(4\times4)\times 4}$

________________________

$\sqrt{3},2\sqrt{3},3\sqrt{3},4\sqrt{3},...$

$Common \: difference \:(d) \\= a_{2}-a_{1}\\=2\sqrt{3}-\sqrt{3}\\=\sqrt{3}$

Therefore,

$Common\: difference \: in \: given \: A.P \:(d) \\= \sqrt{3}$

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