The value of sqrt 103+20sqrt 3 - sqrt 7-4sqrt 3 is closest to:

103 - 20\(\sqrt {3}\) can be written as \( {(10+\sqrt {3}})^{2}\)

and 7 - 4\(\sqrt {3}\) can be written as \( {(2-\sqrt {3}})^{2}\)

So, Put in question

⇒ \(\sqrt {{(10+\sqrt {3}})^{2}}\) - \(\sqrt {{(2-\sqrt {3}})^{2}}\)

⇒ 10+\(\sqrt {3}\) - 2 + \(\sqrt {3}\)

⇒ 8 + 2\(\sqrt {3}\)

= 11.4