Question
Download Solution PDFSquare root of (7 - 4√3) is equal to :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula Used:
(a - b)2 = a2 - 2ab + b2
Calculation:
\(\Rightarrow\pm\sqrt{7-4\sqrt3}\;\)
\(⇒ ± \sqrt{4 + 3 - 4\sqrt{3}}\)
\(⇒ ± \sqrt{(2)^2 + (-\sqrt{3})^2 - 2\times2\times\sqrt{3}}\)
\(\therefore ± (2 - \sqrt{3})\)
The correct option is 2 i.e. ± (2 - √3)
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