The expression (53+50)(5−24)75−52 simplification to

(53+50)(5−24)75−52=(53+52)(5−26)53−52=(3+2)(5−26)3−2×3+23+2 =(3+2)2(5−26)3−2=(3+2+6)(5−26)⇒(5+26)(5−26)=25−24=1

The expression (53+50)(5−24)75−52 simplification to

(53+50)(5−24)75−52=(53+52)(5−26)53−52=(3+2)(5−26)3−2×3+23+2 =(3+2)2(5−26)3−2=(3+2+6)(5−26)⇒(5+26)(5−26)=25−24=1

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The expression $\frac{(5 \sqrt{3} + \sqrt{50}) (5 - \sqrt{24})}{\sqrt{75} - 5 \sqrt{2}}$ simplification to

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$\sqrt{6} - \sqrt{5}$

$\sqrt{3} - \sqrt{2}$

$\sqrt{2}$

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$\frac{(5 \sqrt{3} + \sqrt{50}) (5 - \sqrt{24})}{\sqrt{75} - 5 \sqrt{2}}$

$= \frac{(5 \sqrt{3} + 5 \sqrt{2}) (5 - 2 \sqrt{6})}{5 \sqrt{3} - 5 \sqrt{2}}$

$= \frac{(\sqrt{3} + \sqrt{2}) (5 - 2 \sqrt{6})}{\sqrt{3} - \sqrt{2}} \times \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} + \sqrt{2}}$

$= \frac{{(\sqrt{3} + \sqrt{2})}^{2} (5 - 2 \sqrt{6})}{3 - 2}$

$= (3 + 2 + \sqrt{6}) (5 - 2 \sqrt{6})$

$\Rightarrow (5 + 2 \sqrt{6}) (5 - 2 \sqrt{6}) = 25 - 24 = 1$

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The expression (53+50)(5−24)75−52 simplification to

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The expression $\frac{(5 \sqrt{3} + \sqrt{50}) (5 - \sqrt{24})}{\sqrt{75} - 5 \sqrt{2}}$ simplification to