What should come in pl

Question

What should come in place of both the question marks in the equation `?/sqrt(128)` = `sqrt(162)/?`

Options:

A . 12

B . 14

C . 144

D . 196

Answer: Option A

Let `x/sqrt(128)` = `sqrt(162)/x`

Then , `x^2` = `sqrt(128xx162)` = `sqrt(64 xx 2 xx 18 xx 9)` =` sqrt(8^2 xx 6^2 xx 3^2)` = 8 x 6 x 3 = 144

`:.` `x` = ` sqrt(144) `= 12.

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