Question

(x-√24) (√75+√50) \√75-√50 =1 Find x value.

Answer 1

$\frac{(x - \sqrt{24})( \sqrt{75} + \sqrt{50} ) }{ \sqrt{75} - \sqrt{50} } = 1 \\ \frac{(x - 2 \sqrt{6})(5 \sqrt{3} + 5 \sqrt{2} ) }{5 \sqrt{3} - 5 \sqrt{2} } = 1 \\ \frac{(x - 2 \sqrt{6} )( \sqrt{3} + \sqrt{2}) }{ \sqrt{3} - \sqrt{2} } = 1 \\ \frac{(x - 2 \sqrt{6}) {( \sqrt{3} + \sqrt{2} )}^{2} }{3 - 2} = 1 \\ (x - 2 \sqrt{6} )(5 + 2 \sqrt{6} ) = 1 \\ 5x + 2x \sqrt{6} - 10 \sqrt{6} - 24 = 1 \\ x(5 + 2 \sqrt{6} ) = 25 + 10 \sqrt{6} \\ x(5 + 2 \sqrt{6} ) = 5(5 + 2 \sqrt{6} ) \\ x = 5$
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Answer 2

Answer:

I hope it helps you. there is an another way to solve this question but it is way to complex.