Question

Find the common difference of root 27, root 48, and root 75

Answer 1

root48-root27=4root3-3root3=root3

root75-root48=5root3-4root3=root3

d=root3

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Answer 2

Answer:

The common difference is $d=\sqrt{3}$

Step-by-step explanation:

Given : Series $\sqrt{27},\sqrt{48}, \sqrt{75}$

To find : The common difference?

Solution :

The common difference of the series is second term - first term

The first term of the series is $a_1=\sqrt{27}$

The second term of the series is $a_2=\sqrt{48}$

The common difference of the series is

$d=a_2-a_1$

$d=\sqrt{48}-\sqrt{27}$

$d=4\sqrt{3}-3\sqrt{3}$

$d=\sqrt{3}(4-3)$

$d=\sqrt{3}$

Therefore, The common difference is $d=\sqrt{3}$