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If 5√3 + $$\sqrt {75} $$ = 17.32, then the value of 14√3 + $$\sqrt {108} $$ is.
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& 5\sqrt 3 + \sqrt {75} = 17.32 \cr
& 5\sqrt 3 + 5\sqrt 3 = 17.32 \cr
& 10\sqrt 3 = 17.32\,.\,.\,.\,.\,.\,\left( 1 \right) \cr
& \therefore 14\sqrt 3 + \sqrt {108} \cr
& = 14\sqrt 3 + \sqrt {12 \times 9} \cr
& = 14\sqrt 3 + 6\sqrt 3 \cr
& = 20\sqrt 3 \cr
& = 2 \times 10\sqrt 3 \cr
& = 2 \times 17.32 \cr
& = 34.64 \cr} $$
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