What should be the value of x in equation (x / √216) = (√96/ x)

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23 Jun 2020 Value of x

What should be the value of x in equation (x / √216) = (√96/ x)

OPtion

1) 36
2) 24
3) 6
4) 9
5) 28
6) 12
7) 15
8) 18
9) 30
10) None of these

Solution

Let (x / √216) = (√96 / x)

Then x^2 = √(216 x 96)
= √(36 x 2 x 3 x 16 x 2 x 3)
= √(62 x 42 x 22 x 32)
= 6 x 4 x 2 x 3
= 144
x = 12

Correct Option: 6 Best Solution (5)