The square root of $$\left( {{{272}^2} - {{128}^2}} \right)$$ is = ? Options: A . &nbsp144 B . &nbsp200 C . &nbsp240 D . &nbsp256

The square root of $$\left( {{{272}^2} - {{128}^2}} \right)$$ is = ?

Question

The square root of $$\left( {{{272}^2} - {{128}^2}} \right)$$ is = ?

Options:

A . 144

B . 200

C . 240

D . 256

Answer: Option C
$$\eqalign{
& = \sqrt {\left( {{{272}^2} - {{128}^2}} \right)} \cr
& = \sqrt {\left( {272 + 128} \right)\left( {272 - 128} \right)} \cr
& = \sqrt {400 \times 144} \cr
& = \sqrt {57600} \cr
& = 240 \cr} $$

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