Question

if (√5+√3)(√5-√3)=25-x^2 then find the value of x​

Answer 1

$( \sqrt{5} + \sqrt{3} )( \sqrt{5} - \sqrt{3} ) = 25 - {x}^{2} \\ { \sqrt{5} }^{2} - { \sqrt{3} }^{2} = 25 - {x}^{2} \\ 2 = 25 - {x}^{2} \\ {x}^{2} = 25 - 2 \\ {x}^{2} = 23 \\ x = \sqrt{23}$

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