Question
Download Solution PDF\(\sqrt {19 + 8\sqrt 3 } = ?\) ന്റെ മൂല്യം എന്താണ്?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF\(\begin{array}{l} \sqrt {19 + 8\sqrt 3 } \\ = \sqrt {16 + 3 + 8\sqrt 3 } \\ = \sqrt {{4^2} + {{\left( {\sqrt 3 } \right)}^2} + 2\; \times \;4\; \times \;\sqrt 3 } \end{array}\)
∵ a2 + b2 + 2ab = (a + b)2
\(= \sqrt {{{\left( {4 + \sqrt 3 } \right)}^2}} \)
= 4 + √ 3
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