Question

$(\sqrt[]{3} + \sqrt[]{52} ) {}^{ \frac{1}{2} } ( \sqrt{52 } - \sqrt{3} ) \frac{1}{2} \: simplify \: and \: give \: answer \: with \: a \: positive \: index$
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Answer 1

${( \sqrt{3} + \sqrt{52} })^{ \frac{1}{2} } {( \sqrt{52} - \sqrt{3} })^{ \frac{1}{2} } \\ \\ = > {( \sqrt{52} + \sqrt{3} })^{ \frac{1}{2} } {( \sqrt{52} - \sqrt{3} })^{ \frac{1}{2} } \\ \\ = > ({( \sqrt{52} + \sqrt{3})( \sqrt{52} - \sqrt{3} }))^{ \frac{1}{2} } \\ \\ = > {(52 - 3)}^{ \frac{1}{2} } \\ \\ = > {49}^{ \frac{1}{2} } = \sqrt{49} = 7$

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Fóllòw Më ❤