What should come in place of both x in the equation x/√128 = √162/x.

What should come in place of both x in the equation x/√128 = √162/x.

A 12

B 14

C 144

D 196

Solution

Correct Answer: Option A

Let x/√128 = √162/x

Then x² = √(128 x 162)

= √(64 x 2 x 18 x 9)

= √(8² x 6² x 3²)

= 8 x 6 x 3

= 144.

So, x = √144 = 12.